Contents Vol. 67a (2012)
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Authors Index |
Headings and Complete Articles in PDF
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The underlined page numbers lead to the headings and the phrases
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No 3 / 4,
No 5,
No 6 / 7,
No 8 / 9,
No 10 / 11 ,
No 12
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N u m b e r 1 / 2
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Original Communications |
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Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium
Key words: Viscoelastic Fluid; Thermal Rayleigh Number; Gravity Modulation; Anisotropic Porous Medium; Floquet Theory.
Beer S. Bhadauria, Atul K. Srivastava, Nirmal C. Sacheti, and Pallath Chandran |
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Cross Focusing of two Coaxial Gaussian Beams with Relativistic and Ponderomotive Nonlinearity
Key words: Filamentation; Ponderomotive Nonlinearity; Cross Focusing.
Prerana Sharma |
10
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Travelling-Wave Solution of Volterra Lattice by the Optimal Homotopy Analysis Method
Key words: Volterra Lattice; Optimal Homotopy Analysis Method; Travelling-Wave Solution.
PACS numbers: 02.30.Xx; 02.30.Mv; 02.60.Lj
Qi Wang |
15
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Construction of Quasi-Periodic Wave Solutions for Differential-Difference Equation
Key words: Hirota Bilinear Method; Riemann Theta Function; Quasi-Periodic Wave Solutions.
PACS numbers: 03.65.Ge; 02.30.Ik
Y. C. Hon, and Qi Wang |
21
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Nearly Unattenuated Charge Density Wave Transport in a Linear Chain Conductor Fabricated by Spark Discharge
Key words: Linear Chain Conductor; Charge Density Wave Transport; Nonlinear System far from Equilibrium; Filamentary Spark Discharge Pattern.
Peter Arendt |
29
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Bright N-Soliton Solutions to the Vector Hirota Equation from Nonlinear Optics with Symbolic Computation
Key words: Vector Solitons; Vector Hirota Equation; Multi-Component Wronskian; Darboux Transformation; Symbolic Computation.
PACS numbers: 05.45.Yv; 02.30.Ik
Tao Xu, Bo Tian, and Feng-Hua Qi |
39
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Magnetoresistance of Planar Heterostructures Approached on a Theoretical Basis
Key words: Two-Dimensional Interface Heterostructures; Diagonal and Hall Magnetoresistance.
PACS numbers: 72.20 My; 73.40 Kp; 73.40 Lq; 73.50 Jt
Stanisław Olszewski, and Tomasz Roliński |
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Dynamic Properties of the Predator–Prey Discontinuous Dynamical System
Key words: Discontinuous Dynamical Systems; Predator–Prey Discontinuous Dynamical System; Existence and Uniqueness; Uniform and Local Stability; Equilibrium Points; Chaos and Bifurcations.
Ahmed M. A. El-Sayed, and Mohamed E. Nasr |
57
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Classical Random Graphs with Unbounded Expected Degrees are Locally Scale-Free
Key words: Random Graph; Degree; Scale-Free; Complex Network.
PACS numbers: 89.75.Hc; 89.75.Da; 02.50.Cw
Yilun Shang |
61
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Unsteady Flow of a Power–Law Fluid past a Shrinking Sheet with Mass Transfer
Key words: Unsteady Flow; Power-Law Fluid; Boundary Layer; Heat Transfer; Shrinking Sheet; Dual Solutions.
Nor Azizah Yacob, Anuar Ishak, and Ioan Pop |
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Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet
Key words: Casson Fluid; Viscous Dissipation; Heat Transfer; Analytic Solutions.
Meraj Mustafa, Tasawar Hayat, Ioan Pop, and Awatif Hendi |
70
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Relativistic Oscillators in a Noncommutative Space: a Path Integral Approach
Key words: Noncommutative Geometry; Path Integral; Klein–Gordon and Dirac Oscillators.
PACS numbers: 03.65.Pm; 03.65.Ca; 03.65.Db; 03.65.Ge
H. Benzair, M. Merad, T. Boudjedaa, and A. Makhlouf |
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Energies and Electric Dipole Transitions for Low-Lying Levels of Protactinium IV and Uranium V
Key words: MCDF Method; Energies; Wavelengths; Oscillator Strengths; Transition Rates.
Güldem Ürer, and Leyla Özdemir |
89
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Structures, Stabilities, and Electronic Properties of Gold Silicide Clusters: Comparison with Pure Silicon Clusters
Key words: Au-Si Cluster; Geometric Configuration; Density Functional Theory.
Zhi-Jian Zhou, and Yan-Fei Hu |
99
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N u m b e r 3 / 4 |
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Original Communications |
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Electromagnetic Waves in Variable Media
Key words: Electromagnetism; Optics; Wave Optics; Diffraction and Scattering; Polarization; Optical Materials; Optical Elements and Devices; Fiber Optics.
PACS numbers: 41.; 42.; 42.25.-p; 42.25.Fx; 42.25.Gy; 42.25.Ja; 42.70.-a; 42.79.-e; 42.81.-i
Ulrich Brosa |
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Soliton Solutions, Bäcklund Transformation and Wronskian Solutions for the (2 + 1)-Dimensional Variable-Coefficient Konopelchenko–Dubrovsky Equations in Fluid Mechanics
Key words: (2 + 1)-Dimensional Variable-Coefficient Konopelchenko–Dubrovsky Equations; Fluid Mechanics; Soliton Solutions; Bäcklund Transformation; Wronskian Solutions; Symbolic Computation.
PACS numbers: 05.45.Yv; 47.35.Fg; 02.30.Jr; 02.30.Ik; 02.70.Wz
Peng-Bo Xu, Yi-Tian Gao, Lei Wang, De-Xin Meng, and Xiao-Ling Gai |
132
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Exact Chirped Soliton Solutions for the One-Dimensional Gross–Pitaevskii Equation with Time-Dependent Parameters
Key words: Hirota Method; Gross–Pitaevskii Equation; Chirped Soliton Solution.
PACS numbers: 03.75.Lm; 05.30.Jp; 67.40.Fd
Zhenyun Qin, and Gui Mu |
141
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Heat Transfer Analysis on the Magnetohydrodynamic Flow of a Non-Newtonian Fluid in the Presence of Thermal Radiation: An Analytic Solution
Key words: Thermal Radiation; Magnetohydrodynamic (MHD) Flow; Homotopy Perturbation Method (HPM).
Yasir Khan, Qingbiao Wu, Naeem Faraz, Ahmet Yildirim, and Syed Tauseef Mohyud-Din |
147
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Radiative Flow with Variable Thermal Conductivity in Porous Medium
Key words: Jeffery Fluid; Variable Thermal Conductivity; Non-Isothermal Stretching Surface; Porous Medium; Thermal Radiation.
Tasawar Hayat, Sabir Ali Shehzad, Muhammad Qasim, and A. Alsaedi |
153
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Application of Differential Transformation Method for Numerical Computation of Regularized Long Wave Equation
Key words: Regularized Long Wave Equation; Differential Transformation Method; Nonlinear Partial Differential Equations; Closed-Form Solution.
Mathematics Subject Classification 2000: 35G25; 35Q90
Babak Soltanalizadeh, and Ahmet Yildirim |
160
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A Note on Exact Travelling Wave Solutions for the Klein–Gordon–Zakharov Equations
Key words: Klein–Gordon–Zakharov Equations (KGZEs); Travelling Wave Solutions; Modified Trigonometric Function Series Method (MTFSM).
PACS numbers: 05.45.Yv; 02.30.Jr; 42.81.Dp
Zai-Yun Zhang, Ying-Hui Zhang, Xiang-Yang Gan, and De-Ming Yu |
167
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Symmetry Breaking by Electric Discharges in Water and Formation of Light Magnetic Monopoles in an Extended Standard Model (Part III)
Key words: Magnetic Monopoles; Discharges in Water, Extended Standard Model.
Harald Stumpf |
173
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Trace Formulae for Matrix Integro-Differential Operators
Key words: Matrix Integro-Differential Operator; Eigenvalue; Trace formula.
Mathematics Subject Classification 2000: 34A55; 34B25; 47E05
Chuan-Fu Yang |
180
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Unsteady Pulsatile Flow through a Vertical Constricted Annulus with Heat Transfer
Key words: Pulsatile Flow; Heat Transfer; Catheter; Stenosed Arteries.
Yasser Abd elmaboud, and Khaled Saad Mekheimer |
185
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Radiation Effect on the Mixed Convection Flow of a Viscoelastic Fluid Along an Inclined Stretching Sheet
Key words: Inclined Stretching; Thermal Radiation; Mixed Convection; Series Solution.
Muhammad Qasim, Tasawar Hayat, and Saleem Obaidat |
195
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Solution of the Nonlinear Fractional Diffusion Equation with Absorbent Term and External Force Using Optimal Homotopy-Analysis Method
Key words: Fractional Diffusion Equation; Nonlinearity; Optimal Homotopy-Analysis Method; Fractional Brownian Motion; Absorbent Term; Error Analysis.
Mathematics Subject Classification 2000: 26A33; 34G20; 35A20; 35R11; 65Mxx
Kumar Vishal, and Subir Das |
203
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Estimation of Configurational Probability and Phase Behaviour of N-n-undecyl-D-gluconamide having V-Shaped Conformation – A Molecular Simulation Approach
Key words: N-n-Undecyl-D-Gluconamide; Smectogen; Molecular Rigidity.
P. Lakshmi Praveen, and Durga P. Ojha |
210
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N u m b e r 5 |
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Original Communications |
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Heat Transfer in a Couple Stress Fluid over a Continuous Moving Surface with Internal Heat Generation and Convective Boundary Conditions
Key words: Heat Transfer; Couple Stress Fluid; Heat Generation; Convective Boundary Conditions; Moving Surface.
Tasawar Hayat, Zahid Iqbal, Muhammad Qasim, and Omar M. Aldossary |
217
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Percolation in a Hierarchical Lattice
Key words: Percolation; Random Graph; Degree; Hierarchical Lattice; Phase Transition.
PACS numbers: 64.60.ah; 02.50.Cw; 02.10.Ox
Yilun Shang |
225
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One Dimensional Model of Martensitic Transformation Solved by Homotopy Analysis Method
Key words: Homotopy Analysis Method; Martensitic Phase Transformation; Double-Well Potential; Bifurcation.
Chen Xuan, Cheng Peng, and Yongzhong Huo |
230
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Chemically Reacting Hydromagnetic Unsteady Flow of a Radiating Fluid Past a Vertical Plate with Constant Heat Flux
Key words: Unsteady Flow; Vertical Plate; Magnetic Field; Thermal Radiation; Chemical Reaction.
Oluwole Daniel Makinde |
239
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Analytical Solutions of the Slip Magnetohydrodynamic Viscous Flow over a Stretching Sheet by Using the Laplace–Adomian Decomposition Method
Key words: Laplace Adomian Decomposition Method; Padé Approximation; Navier–Stokes Equations; Semi-Infinite Interval; Magnetohydrodynamic Flow.
Hadi Roohani Ghehsareh, Saeid Abbasbandy, and Babak Soltanalizadeh |
248
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Flow of a Non-Newtonian Nanofluid Between Coaxial Cylinders with Variable Viscosity
Key words: Coaxial Cylinders; Variable Viscosity; Analytical Solution; Non-Newtonian Nanofluid.
Muhammad Yousaf Malik, Azad Hussain, and Sohail Nadeem |
255
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New Computational Dynamics for Magnetohydrodynamics Flow over a Nonlinear Stretching Sheet
Key words: Modified Laplace Decomposition Method; Rational Polynomial; MHD Flow; Approximate Solution.
Majid Khan, and Muhammad Asif Gondal |
262
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Solution of the Coupled Burgers Equation Based on Operational Matrices of d-Dimensional Orthogonal Functions
Key words: Coupled Burgers Equation; Operational Matrix; Chebyshev and Legendre Polynomials; Tau Method.
Mathematics Subject Classification 2000: 34A08
Saeed Kazem, Malihe Shaban, and Jamal Amani Rad |
267
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Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field
Key words: Thermosolutal Convection; Couple-Stress Fluid; Uniform Vertical Magnetic Field.
Mahinder Singh, and Pardeep Kumar |
275
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Generalized Majority Logic Criterion to Analyze the Statistical Strength of S-Boxes
Key words: S-Box; Advanced Encryption Standard; Skipjack; Lui J; Residue of Prime; Mean of Absolute Deviation Analysis; Majority Logic Criterion.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood |
282
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A Theoretical Study of Lithium-Doped Gallium Clusters by Density Functional Theory
Key words: Geometrical Structures; Stability; Clusters; Density Functional Theory.
Şükrü Şentürk, and Yavuz Ekincioğlu |
289
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Coulomb Dissociation of Nanoparticles Grazing along Organic Surfaces
Key words: Coulomb Dissociation of Grazing Nanoparticles.
PACS numbers: 34.50.Gb ; 36.40.In; 36.90+f
Viacheslav V. Komarov, Anna M. Popova, Lothar Schmidt, and Hartmut Jungclas |
296
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A Comparative Nuclear Magnetic Resonance Study of the Solvation of CuClO4 in Binary Mixtures of Acetonitrile with Pyridine and Picolines at 298 K
Key words: 63Cu NMR; Pyridine; Picolines; Chemical Shift; Linewidth; Quadrupole Coupling Constant.
Dip Singh Gill, Dilbag Singh Rana, and Mohinder Singh Chauhan |
303
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The Ordered Network Structure of M ≥ 8 Great Earthquakes and their Prediction in Mainland China
Key words: Mainland China; Informational Ordered Network Structure; 2001 Kunlunshan M8.1 Earthquake; 2008 Wenchuan M8.0 Earthquake; M ≥ 8 Great Earthquake Prediction.
Kepei Men |
308
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N u m b e r 6 / 7
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Original Communications |
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A New Approach to the Characteristics and Short-Channel Effects of Double-Gate Carbon Nanotube Field-Effect Transistors using MATLAB: A Numerical Study
Note: This title has been retracted by the Editor due to an unrefuted
allegation of plagiarism of important material in this paper from a
previously published work by Fiori at al. in IEEE Transactions on
Electron Devices 53, 1782 (2006).
Key words: Short-Channel Effects; Non-Equilibrium Green Function; Field-Effect Transistor; Double-Gate; Carbon Nanotube.
Alireza Heidari, Niloofar Heidari, Foad Khademi Jahromi, Roozbeh Amiri, and Mohammadali Ghorbani
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317
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Analysis of S-box in Image Encryption Using Root Mean Square Error Method
Key words: Root Mean Square Error; S-Box Encryption; Image Encryption.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood
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327
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Non-Newtonian Micropolar Fluid Squeeze Film Between Conical Plates
Key words: Micropolar Fluids; Conical Plates; Squeeze Films; Load-Carrying Capacity; Approaching Time.
Jaw-Ren Lin, Chia-Chuan Kuo, Won-Hsion Liao, and Ching-Been Yang
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333
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Tunnelling Effects of Solitons in Optical Fibers with Higher-Order Effects
Key words: Nonlinear Schrödinger Equation; Higher-Order Effect; Soliton Solutions; Tunnelling Effect.
PACS numbers: 05.45.Yv; 42.65.Tg
Chao-Qing Dai, Hai-Ping Zhu, and Chun-Long Zheng
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338
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New Positon, Negaton, and Complexiton Solutions for a Coupled Korteweg–de Vries – Modified Korteweg–de Vries System
Key words: Positon; Negaton; Complexiton; Darboux Transformation.
PACS numbers: 02.30.Jr; 02.30.Ik; 05.45.Yv
Hengchun Hu, Mingyuan Yang, and Ling Zhang
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347
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On the Hybrid of Fourier Transform and Adomian Decomposition Method for the Solution of Nonlinear Cauchy Problems of the Reaction-Diffusion Equation
Key words: Cauchy Reaction-Diffusion; Fourier Transformation; Adomian Decomposition Method; Non-Homogeneous Partial Differential Equation.
Salman Nourazar, Akbar Nazari-Golshan, Ahmet Yıldırım, and Maryam Nourazar
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355
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Boundary Layer Theory and Symmetry Analysis of a Williamson Fluid
Key words: Non-Newtonian Fluid; Williamson Fluid; Boundary Layer Theory; Lie Group Theory.
Yiğit Aksoy, Tasawar Hayat, and Mehmet Pakdemirli
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363
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Improved Security Detection Strategy in Quantum Secure Direct Communication Protocol Based on Four-Particle Green–Horne–Zeilinger State
Key words: Quantum Secure Direct Communication Protocol; Dense Coding; Four-Particle GHZ State; Eavesdropping Detection.
Jian Li, Jin-Rui Nie, Rui-Fan Li, and Bo Jing
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369
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A Note on New Exact Solutions for Some Unsteady Flows of Brinkman-Type Fluids over a Plane Wall
Key words: Brinkman Type Fluids; Plane Wall; Exact Solutions.
Farhad Ali, Ilyas Khan, Samiulhaq, and Sharidan Shafie
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377
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Infinite Series Symmetry Reduction Solutions to the Perturbed Coupled Nonlinear Schrödinger Equation
Key words: Perturbed Coupled Nonlinear Schrödinger Equation; Approximate Symmetry Perturbation Method; Infinite Series Symmetry Reduction Solution.
PACS numbers: 42.81.Dp; 02.30.Jr; 03.40.Kf
Xue-Ping Cheng, Qing-Qing Yuan, Xiang-Qing Zhao, and Jin-Yu Li
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381
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A Fractional Model of Gas Dynamics Equations and its Analytical Approximate Solution Using Laplace Transform
Key words: Homotopy Perturbation Method; Laplace Transform; Gas Dynamics Equation; Analytical Solution.
Mathematics Subject Classification 2000: 26A33; 34A08; 34A34
Sunil Kumar, Huseyin Kocak, and Ahmet Yıldırım
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389
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Tunable Comb-Channels with Orthogonal Polarizations Based on Coupled Resonators and Electro-Optic Effect
Key words: Orthogonal Polarizations; Coupled Resonators; Comb-Channels; Electro-Optic Effect.
Changyun Chen
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397
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Estimating the Laplacian Energy-Like Molecular Structure Descriptor
Key words: Energy (of Graph); Laplacian Energy; Laplacian Energy-Like Invariant; LEL.
Ivan Gutman
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403
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Investigation on the Spin Hamiltonian Parameters and the Local Structures for Cu2+ Centers in Sodium Phosphate and Heavy Metal Fluoride Glasses
Key words: Electron Paramagnetic Resonance (EPR); Crystal-Field and Spin Hamiltonians; Glasses; Cu2+; Local Structure.
Hua-Ming Zhang, Xiong Wan, and Zhi-Min Zhang
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407
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Effects of Surface Roughness and Surface Force on the Thin Film Elastohydrodynamic Lubrication of Circular Contacts
Key words: Thin Film Elastohydrodynamic Lubrication (TFEHL); Roughness; Surface Force.
Li-Ming Chu, Jaw-Ren Lin, and Jiann-Lin Chen
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412
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Three-Dimensional Coastal Geomorphology Deformation Modelling Using Differential Synthetic Aperture Interferometry
Key words: RADARSAT-1 SAR; DInSAR; 3D; Coastal Geomorphology.
Maged Marghany
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419
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Finite Element Investigation of Stationary Natural Convection of Light and Heavy Water in a Vessel Containing Heated Rods
Key words: Light Water; Heavy Water; Natural Convection; Heated Obstacle Galerkin Weighted Residual; Finite Element Method.
Mohamed M. Mousa
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421
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Erratum |
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Erratum to: Dipolar Order and Spin-Lattice Relaxation in a Liquid Entrapped into Nanosize Cavities, Z. Naturforsch. 66a, 779 (2011).
Gregory Furman and Shaul Goren
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428
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N u m b e r 8 / 9
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Original Communications
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Trace Formula on Transmission Eigenvalues of the Sturm–Liouville Problem
Key words: Sturm–Liouville Problem; Transmission Eigenvalues; Trace Formula.
Mathematics Subject Classification 2000: 34A55; 34B24; 47E05
Chuan-Fu Yang
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429
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Dynamic Analysis of Nonlinear Oscillator Equation Arising in Double-Sided Driven Clamped Microbeam-Based Electromechanical Resonator
Key words: Microelectromechanical System; Nonlinear Oscillation; Analytical Methods; Periodic Solution.
Yasir Khan and Mehdi Akbarzade
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435
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Bäcklund Transformation and N-Soliton Solutions for the Cylindrical Nonlinear Schrödinger Equation from the Diverging Quasi-Plane Envelope Waves
Key words: Cylindrical Nonlinear Schrödinger Equation; Soliton Solutions; Double Wronskian; Hirota Method; Bäcklund Transformation; Symbolic Computation.
PACS numbers: 02.30.Ik; 02.30.Jr; 02.70.Wz; 05.45.Yv
Pan Wang, Bo Tian, Wen-Jun Liu, and Yan Jiang
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441
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Entropy Analysis of Mixed Convective Magnetohydrodynamic Flow of a Viscoelastic Fluid over a Stretching Sheet
Key words: Boundary Layer Flow; Viscoelastic Fluid; Mixed Convection; Entropy Generation; Homotopy Analysis Method.
Adnan S. Butt, Sufian Munawar, Asif Ali, and Ahmer Mehmood
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451
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Study of the Rate Type Fluid with Temperature Dependent Viscosity
Key words: Homotopy Analysis Method; Variable Viscosity.
Naeem Faraz and Yasir Khan
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460
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Falkner–Skan Boundary Layer Flow of a Sisko Fluid
Key words: Sisko Fluid; Falkner–Skan Flow; Analytic Solution.
Masood Khan and Azeem Shahzad
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469
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Blow-Up of Solutions for a Class of Reaction-Diffusion Equations with a Gradient Term under Nonlinear Boundary Condition
Key words: Reaction-Diffusion Equation; Gradient Term; Nonlinear Boundary Conditions; Maximum Principles; Blow-Up of Solutions.
Mathematics Subject Classification 2000: 35K20; 35K55; 35K65
Junping Zhao
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479
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Three-Dimensional Bright–Dark Soliton, Bright Soliton Pairs, and Rogue Wave of Coupled Nonlinear Schrödinger Equation with Time–Space Modulation
Key words: Coupled NLS Equation; Bright–Dark Soliton; Bright Soliton Pairs; Rogue Wave.
Junchao Chen and Biao Li
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483
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Split and Merge of Left–Right Circular Polarized Light through Coupled Magnetic Resonators
Key words: Light Polarizations; Coupled Magnetic Resonators; 4 × 4 Transfer Matrix Method.
PACS numbers: 42.25.Ja; 78.20.Ls; 75.70.-i; 73.40.Gk
Jijun Wang, Jing Cao, Min Zhu, Zhipan Zhu, and Yun-tuan Fang
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491
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Temperature Dependence of the Magnetoresistance Effect in Metals
Key words: Temperature Dependence; Magnetoresistance Effect; Metals.
PACS numbers: 72.15 Gd; 72.15 He; 72.15 Lh
Stanisław Olszewski
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498
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Optimal Homotopy Perturbation Method for a Non-Conservative Dynamical System of a Rotating Electrical Machine
Key words: Optimal Homotopy Perturbation Method (OHPM) ; Rotating Electrical Machine; Differential Equation with Variable Coefficients.
Nicolae Herişanu and Vasile Marinca
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509
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Exact Solutions for the Magnetohydrodynamic Flow of a Jeffrey Fluid with Convective Boundary Conditions and Chemical Reaction
Key words: Exact Solutions; Heat Transfer; Mass Transfer; Jeffrey Fluid; Chemical Reaction; Convective Boundary Condition; Numerical Solution.
Ahmed Alsaedi, Zahid Iqbal, Meraj Mustafa, and Tasawar Hayat
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517
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N u m b e r 10 / 11
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Original Communications
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Integrability and Multi-Soliton Solutions for a Variable-Coefficient Coupled Gross–Pitaevskii System for Atomic Matter Waves
Key words: Variable-Coefficient Coupled Gross–Pitaevskii System; Painlevé Analysis; Atomic Matter Waves; Multi-Soliton Solutions; Soliton Collision.
PACS numbers: 05.45.Yv; 02.30.Ik; 67.85.Hj; 02.30.Jr; 02.70.Wz
Zhi-Qiang Lin, Bo Tian, Ming Wang, Xing Lü, and Yan Jiang
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525
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Research on Evaluation Models and Empirical Analysis of Earthquake Disaster Losses in China
Key words: Earthquake Disaster; Economic Loss Rating; Grey Relation-Cluster Analysis; Principal Component Analysis; Evaluation Models.
Kepei Men and Lei Cui
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534
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A Variety of Exact Periodic Wave and Solitary Wave Solutions for the Coupled Higgs Equation
Key words: Coupled Higgs Field Equation; Jacobi Elliptic Function Method; Solitary Wave Solutions.
Houria Triki and Abdul-Majid Wazwaz
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545
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On the Quasi-Ordering of Catacondensed Hexagonal Systems with Respective to their Clar Covering Polynomials
Key words: Catacondensed Hexagonal Systems; Clar Covering Polynomials; Zhang–Zhang Polynomials; k*-Resonant Graph.
Liqiong Xu and Fuji Zhang
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550
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Dynamical Symmetry Method Investigates the Dissipation and Decoherence of the two-level Jaynes–Cummings Model
Key words: Algebraic Dynamics; Master Equation; Jaynes–Cummings Model.
PACS numbers: 03.65.Fd; 03.65.Yz; 42.50.Lc
Qin-Sheng Zhu, Wei Lai, and Da-Lin Wu
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559
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Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution
Key words: Dirac Equation; Killingbeck Potential; P-Spin Symmetry; Quasi-Exact Solution.
PACS numbers: 03.65.Fd; 02.30.Pm; 03.65.Ge
Majid Hamzavi, Sameer M. Ikhdair, and Karl-Erik Thylwe
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567
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Radiation and Porosity Effects on the Magnetohydrodynamic Flow Past an Oscillating Vertical Plate with Uniform Heat Flux
Key words: Magnetohydrodynamic Flow; Oscillating Vertical Plate; Thermal Radiation; Porous Medium.
Samiulhaq, Constantin Fetecau, Ilyas Khan, Farhad Ali, and Sharidan Shafie
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572
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Breathing Azimuthons in Nonlocal Nonlinear Media
Key words: Nonlocal Nonlinear Media; Self-Similar; Azimuthons.
PACS numbers: 01.55.+b; 02.30.Jr
Xian-Jing Lai, Xiao-Ou Cai, and Xiao-Jing Ni
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581
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Current Conduction in Poly(3-Hexylthiophene) and in Poly(3-Hexylthiophene) doped [6,6]-Phenyl C61-Butyric Acid Methylester Composite Thin Film Devices
Key words: Polymer Semiconductors; Space Charge Limited Currents; Trap Filling; MIM Devices; Fowler–Nordheim Tunnelling.
PACS numbers: 72.20.Ht; 72.80.Le; 73.40.Rw; 73.40.Sx; 82.35.Cd; 85.30.De
Zivayi Chiguvare and Jürgen Parisi
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589
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Full Text |
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New Exact Solution and Novel Time Solitons for the Dissipative Zabolotskaya–Khokhlov Equation from Nonlinear Acoustics
Key words: Dissipative Zabolotskaya–Khokhlov Equation; Symbolic Computation Algorithm; Generalized Travelling Wave Solution; Exact Solution; Time Soliton.
PACS numbers: 02.30.Jr; 05.45.Yv; 03.65.Ge
Bang-Qing Li, Su Li, and Yu-Lan Ma
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601
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Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing, and Entanglement
Key words: Hilbert Space; Energy Level Crossing; Discrete Symmetries; Entanglement.
Willi-Hans Steeb, Yorick Hardy, and Jacqueline de Greef
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608
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Soliton Solutions, Conservation Laws, and Reductions of Certain Classes of Nonlinear Wave Equations
Key words: Lie Symmetries; Conservation Laws; Double Reduction.
Richard Morris, Abdul Hamid Kara, Abhinandan Chowdhury, and Anjan Biswas
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613
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A Numerical Study of the Nonlinear Reaction-Diffusion Equation with Different Type of Absorbent Term by Homotopy Analysis Method
Key words: Homotopy Analysis Method; Nonlinear Reaction-Diffusion Equation; Partial Differential Equation; External Force; Reaction Term.
Mathematics Subject Classification 2000: 14F35; 35K57; 45K05
Praveen Kumar Gupta and Swati Verma
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621
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Study of the Phan-Thien–Tanner Equation of Viscoelastic Blood Non-Newtonian Flow in a Pipe-Shaped Artery under an Emotion-Induced Pressure Gradient
Key words: Boundary Conditions; Mass Transfer; Viscous Dissipation; Phan-Thien–Tanner (PTT) Equation; Viscosity.
Karem Boubaker and Yasir Khan
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628
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Oxidation of Hafnium and Diffusion of Hafnium Atoms in Hexagonal Close-Packed Hafnium; Microscopic Investigations by Perturbed Angular Correlations
Key words: Hf Metal; Transformation to HfO2; Diffusion of Hf; TDPAC(T).
Chandi C. Dey
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633
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Upper-Convected Maxwell Fluid Flow over an Unsteady Stretching Surface Embedded in Porous Medium Subjected to Suction/Blowing
Key words: Unsteady Flow; Maxwell Fluid; Porous Medium; Stretching Surface; Suction/Blowing.
Swati Mukhopadhyay
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641
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Heat Transfer to Magnetohydrodynamic Non-Newtonian Couple Stress Pulsatile Flow Between two Parallel Porous Plates
Key words: Heat Transfer; Erying–Powel Model; Couple Stresses; Thermal Radiation.
Mathematics Subject Classification 2000: 76B; 76DXX
Samuel Olumide Adesanya and Oluwole Daniel Makinde
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647
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N u m b e r 12
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Original Communications
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Unsteady Flow and Heat Transfer in a Composite Porous Annulus with Time-Dependent Injection
Key words: Unsteady Flow; Heat Transfer; Porous Medium; Suction/Injection.
Muhammad Nasir, Sufian Munawar, Ahmer Mehmood, and Asif Ali
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657
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A new Reliable Numerical Algorithm Based on the First Kind of Bessel Functions to Solve Prandtl–Blasius Laminar Viscous Flow over a Semi-Infinite Flat Plate
Key words: Blasius Equation; Bessel Functions; Collocation Method; Semi-Infinite; Nonlinear ODE.
Mathematics Subject Classification 2000: 65L10; 65L60; 34B15
Kourosh Parand, Mehran Nikarya, Jamal Amani Rad, and Fatemeh Baharifard
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665
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A Novel Analytical Implementation of Nonlinear Volterra Integral Equations
Key words: Two Step Homotopy Perturbation Transforms Algorithm; Nonlinear Volterra Integral Equations.
Majid Khan, Muhammad Asif Gondal, and Syeda Iram Batool
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674
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Full Text |
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Facile Synthesis and Electrical Conductivity of Carbon Nanotube Reinforced Nanosilver Composite
Key words: Ag/CNT; Nanocomposite; Molecular Level Mixing; Electrical Conductivity; Noncovalent Functionalization.
Hemant Pal, Vimal Sharma, Rajesh Kumar, and Nagesh Thakur
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679
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Dufour and Soret Effects on the Thermosolutal Instability of Rivlin–Ericksen Elastico–Viscous Fluid in Porous Medium
Key words: Thermosolutal Instability; Rivlin-Ericksen; Dufour; Soret Parameter.
Ramesh Chand and Gian Chand Rana
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685
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Existence of Solutions for Stochastic Differential Equations under G-Brownian Motion with Discontinuous Coefficients
Key words: Stochastic Differential Equations; G-Brownian Motion; Discontinuous Coefficients; Existence; Upper and Lower Solutions.
Mathematics Subject Classification 2000: 60H10; 60H20
Faiz Faizullah
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692
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A Note on the Carathéodory Approximation Scheme for Stochastic Differential Equations under G-Brownian Motion
Key words: Stochastic Differential Equations; G-Brownian Motion; Carathéodory's Approximation Scheme; Existence; Uniqueness.
Mathematics Subject Classification 2000: 60H10; 60H20; 60H35; 62L20
Faiz Faizullah
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699
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Construction of New S-Boxes Over Finite Field and Their Application to Watermarking
Key words: Block Ciphers; S-Box; Watermarking; MSE; PSNR; SSIM.
Iqtadar Hussain, Tariq Shah, Muhammad Asif Gondal, and Hasan Mahmood
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705
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Darboux Transformation and N-Soliton Solution for the Coupled Modified Nonlinear Schrödinger Equations
Key words: Coupled Mixed Derivative Nonlinear Schrödinger Equations; Vector Soliton; Soliton Collision; Darboux Transformation.
PACS numbers: 05.45.Yv; 42.65.Tg; 42.81.Dp
Hai-Qiang Zhang
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711
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Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential
Key words: Bose–Einstein Condensates; Oscillating Solitons; Periodically Oscillating Potential Trap; Darboux Transformation.
PACS numbers: 05.45.Yv; 03.75.Lm; 03.75.Kk
Zhang-Ming He, Deng-Long Wang, Yan-Chao She, Jian-Wen Ding, and Xiao-Hong Yan
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723
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Structural and Electronic Properties of Stable AunIr2 (n = 1–7) Clusters: Comparison with Pure Gold Clusters
Key words: Meta-GGA Exchange Correlation Functional (TPSS); AunIr2 (n = 1–7) Clusters; Geometric Structure.
Li-Ping Ding, Xiao-Yu Kuang, Peng Shao, Ming-Min Zhong, and Yan-Fang Li
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729
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