B C Zeitschrift für Naturforschung A Archive Online Access Contents Vol. 65a (2010) Headings and Complete Articles in PDF The underlined page numbers lead to the headings and the phrases Full Text behind them to the complete articles. The Adobe Reader for handling PDF files is freely available from http://www.adobe.com Jump to: No 3, No 4, No 5, No 6 / 7, No 8 / 9, No 10, No 11, No 12 N u m b e r 1 Original Communications Diffraction of Electromagnetic Waves Key words: Electromagnetism; Optics; Diffraction; Polarization.PACS numbers: 41., 42., 42.25.Fx, 42.25.Ja U. Brosa 1 Full Text The Variational Iteration Method and the Variational Homotopy Perturbation Method for Solving the KdV-Burgers Equation and the Sharma-Tasso-Olver Equation Key words: Variational Iteration Method; Variational Homotopy Perturbation Method; (2+1)-Dimensional Korteweg-de Vries-Burgers Equation; (1+1)-Dimensional Sharma-Tasso-Olver Equation. E. M. E. Zayed and H. M. A. Rahman 25 Full Text Two Universal Equations of State for Solids Key words: Equation of State; High Pressure; Volume Analyticity.PACS numbers: 05.70.Ce, 62.50.+p J.-X. Sun, Q. Wu, Y. Guo, and L.-C. Cai 34 Full Text Flow by a Porous Shrinking Surface in a Rotating Frame Key words: Rotating Frame; Homotopy Analysis Solution; Shrinking Flow. T. Hayat, S. Iram, T. Javed, and S. Asghar 45 Full Text Application of He's Homotopy Perturbation Method to Fractional Diffusion Equations Key words: Fractional Diffusion Equation; Homotopy Perturbation Method; Inital Value Problem; Mittag-Leffler Function. S. Das, P. K. Gupta, V. S. Pandey, and K. N. Rai 53 Full Text Homotopy Perturbation Method for a Reliable Analytic Treatment of some Evolution Equations Key words: Homotopy Perturbation Method; Evolution Equations; Homotopy; Exact Solution. PACS numbers: 02.30.Jr, 04.20.Jb C. Chun 59 Full Text Application of Homotopy Perturbation Method with Chebyshev Polynomials to Nonlinear Problems Key words: Homotopy Perturbation Method; Chebyshev Polynomials; He's Polynomials; Nonlinear Differential Equations.PACS numbers: 02.30.Hq, 02.30.Mv C. Chun 65 Full Text The Bright Soliton Solutions of Two Variable-Coefficient Coupled Nonlinear Schrödinger Equations in Optical Fibers Key words: Hirota's Method; Symbolic Computation; Bright Soliton Solution; Coupled Nonlinear Schrödinger Equations. PACS numbers: 02.30.Ik, 47.35.Fg, 02.30.Jr D.-S. Wang and Y. Liu 71 Full Text Exp-Function Method for Generalized Travelling Solutions of Calogero-Degasperis-Fokas Equation Key words: Exp-Function Method; Calogero-Degasperis-Fokas (CDF) Equation; Nonlinear Partial Differential Equations. S. T. Mohyud-Din, M. A. Noor, and A. Waheed 78 Full Text Shock Waves in a Dusty Plasma with Positive and Negative Dust where Ions are Non-Thermal Key words: Dusty Plasma; Shock Waves; Non-Thermal; Dust Acoustic (DA) Wave. G. Mandal and P. Chatterjee 85 Full Text Contribution of Higher-Order Dispersion to Nonlinear Dust Ion Acoustic Waves in Inhomogeneous Mesospheric Dusty Plasma with Dust Charge Fluctuation Key words: Inhomogeneous Dusty Plasma; Dust Ion Acoustic Waves; Positive and Negative Dust Charge Fluctuation; Variable Coefficients KdV Equation; Higher-Order Solution. M. T. Attia, M. A. Zahran, E. K. El-Shewy, and A. E. Mowafy 91 Full Text Reconstruction of the Diffusion Operator from Nodal Data Key words: Diffusion Operator; Inverse Nodal Problem; Reconstruction Formula.1991 Mathematics Subject Classification: 34A55, 34L40, 35K57 C. F. Yang 100 Full Text Ab Initio Hartree-Fock and Density Functional Theory Study on Molecular Structures, Energies, and Vibrational Frequencies of 2-Amino-3-, 4-, and 5-Nitropyridine Key words: Amino Nitropyridine; Vibrations; IR Spectra; Raman Spectra; HF; DFT. Y. Sert, F. Ucun, and M. Böyükata 107 Full Text Quantum-Chemical ab initio Calculations on the Three Isomers of Diborabenzene (C4H4B2) Key words: Diborabenzenes; Calculations; Singlet-Triplet Splitting; Relative Stabilities; Bond Separation Reactions. J. Singh, Y. Wang, and G. Raabe 113 Full Text Short and Medium-Range Order in Liquid Ternary Al80Co10Ni10, Al72.5Co14.5Ni13, and Al65Co17.5Ni17.5 Alloys Key words: High-Temperature Alloys; Atomic Scale Structure; X-Ray Diffraction; Computer Simulations; Prepeak. O. S. Roik, O. Samsonnikov, V. Kazimirov, and V. Sokolskii 123 Full Text Stirring Effect on the Belousov-Zhabotinsky Oscillating Chemical Reactions in a Batch. Experimental and Modelling Key words: Stirring Effect; Diffusion-Controlled Reactions. Y. Yu. Kalishyn, M. Rachwalska, and P. E. Strizhak 132 Full Text Dielectric Relaxation of Binary Mixtures of Tetrahydrofuran and N-Methylformamide in Benzene Solution Using Microwave Absorption Studies Key words: Dielectric Relaxation; Solute-Solute Interaction; Relaxation Times; Microwave Absorption Studies. R. Kumar, R. Kumar, and V. S. Rangra 141 Full Text N u m b e r 3 Original Communications Exact Solutions for a Class of Nonlinear Singular Two-Point Boundary Value Problems: The Decomposition Method Key words: Adomian Decomposition Method; Nonlinear Singular Two-Point Boundary Value Problems; Exact Solutions. A. E. Ebaid 145 Full Text Analytical and Numerical Solutions of a Generalized Hyperbolic Non-Newtonian Fluid Flow Key words: Generalized Hyperbolic Non-Newtonian Fluid; Pipe Flow; Parallel Plate Flow; Flow Between Rotating Cylinders. M. Pakdemirli, P. Sar\i, and B. Solmaz 151 Full Text Homotopy Solution for Non-Similarity Boundary-Layer Flow near a Stagnation Point Key words: Non-Similarity; Boundary-Layer; Stagnation Point Flow; Series Solution. X. You and H. Xu 161 Full Text The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions Key words: Calogero-Bogoyavlenskii-Schiff Equations; Hirota's Method; Multiple Solitons; Multiple Singular Solitons. A.-M. Wazwaz 173 Full Text An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method Key words: Fractional Diffusion Equation, Fractional Brownion Motion, Homotopy Perturbation Method, Mittag-Leffler Function. S. Das and P. K. Gupta 182 Full Text Long Wavelength Flow Analysis in a Curved Channel Key words: Curved Channel; Peristalsis; Viscous Fluid; Modelling; Wave Frame. N. Ali, M. Sajid, and T. Hayat 191 Full Text New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method Key words: Chaffee-Infante Equations; Solitonary Solutions; Travelling Wave Solutions; Exp-Function Method.PACS numbers: 02.30.Jr, 04.20.Jb R. Sakthivel and C. Chun 197 Full Text On the Reconstruction of the First Term in the Variational Iteration Method for Solving Differential Equations Key words: Variational Iteration Method; Initial Term; Differential Equations; Partial Differential Equations; Integral Equations. M. Tatari and M. Dehghan 203 Full Text New Exact Travelling Wave Solutions of Nonlinear Coagulation Problem with Mass Loss Key words: Nonlinear Coagulation Problem; Mass Loss; New Exact Travelling Solutions; Laplace Transform. E.-S. A. El-Wakil, E. M. Abulwafa, and M. A. Abdou 209 Full Text Magneto Thermal Convection in a Compressible Couple-Stress Fluid Key words: Thermal Instability; Compressible Couple-Stress Fluid; Uniform Magnetic Field; Linearized Theory; Normal Mode Analysis. M. Singh and P. Kumar 215 Full Text Dielectric Properties of Strongly Polar Nematogens Key words: Liquid Crystals; Nematic Phase; Dielectric Properties; Dipolar Structure. J. Czub, R. D\cabrowski, S. Urban, and D. Ziobro 221 Full Text Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet Key words: Magnetohydrodynamic; Radiation; Concentration Field; Series Solutions. T. Hayat, M. Qasim, and Z. Abbas 231 Full Text Estimating the Vertex PI Index Key words: Molecular Graph; Vertex PI Index; Edge PI index; Molecular Structure Descriptor; Topological Index; Distance (in Graph); Estimating the Vertex \1{PI} Index K. Ch. Das and I. Gutman 240 Full Text Quantum-Chemical Estimation of Outersphere Cations Influence on Charge Transfer at the NbF72- Reduction. I. Electronic Structure of Complexes Key words: ab initio; Outersphere Cations; Electron Transfer; Electrode Reaction; Niobium Fluoride Complex. V. V. Soloviev, L. A. Chernenko, V. G. Kremenetsky, and S. A. Kuznetsov 245 Full Text Theoretical Investigation of the g Factors for Copper (II) Ion in an Orthorhombic Crystal and its Application to (CuCl4)2- Cluster Key words: Crystal- and Ligand-Field; Electron Paramagnetic Resonance; Spin Hamiltonian; (CuCl4)2- Cluster. 251 Full Text Intermolecular Spin-Spin Coupling in Highly Fluorinated Solutions of Galvinoxyl Free Radical Key words: Dynamic Nuclear Polarization; Overhauser Effect; Fluorine-Electron Double Resonance; Free Radical; ESR Spectra. H. Ovalioglu, A. Peksoz, H. E. Kirimli, and A. Yalciner 254 Full Text N u m b e r 4 Original Communications Variational Iteration Method for Burgers' and Coupled Burgers' Equations Using He's Polynomials Key words: Modified Variational Iteration Method; He's Polynomials; Burgers' Equations. S. T. Mohyud-Din, M. A. Noor, and K. I. Noor 263 Full Text The Solution of the Regularized Long Wave Equation Using the Fourier Leap-Frog Method Key words: Fourier Spectral Method; Fast Fourier Transform; Leap-Frog Method; RLW Equation; Nonlinear Waves. H. N. Hassan and H. K. Saleh 268 Full Text Modified Variational Iteration Method for Integro-Differential Equations and Coupled Systems Key words: Variational Iteration Method; He's Polynomials; Integro Differential-Equations; Blasius Problem; Error Estimates.PACS numbers: 02.30 Jr, 02.00.00 S. T. Mohyud-Din 277 Full Text Analytic Solution of the Sharma-Tasso-Olver Equation by Homotopy Analysis Method Key words: Homotopy Analysis Method; Sharma-Tasso-Olver Equation; Kink Solution. S. Abbasbandy, M. Ashtiani, and E. Babolian 285 Full Text Soliton Solution, Bäcklund Transformation, and Conservation Laws for the Sasa-Satsuma Equation in the Optical Fiber Communications Key words: Sasa-Satsuma Equation; Lax Pair; Bäcklund Transformation; One-Soliton Solution; Infinite Number of Conservation Laws; Soliton Interaction.PACS numbers: 42.65.Tg, 42.81.Dp, 05.45.Yv Y. Liu, Y.-T. Gao, T. Xu, X. Lü, Z.-Y. Sun, X.-H. Meng, X. Yu, and X.-L. Gai 291 Full Text Approximate Solution of Generalized Ginzburg-Landau-Higgs System via Homotopy Perturbation Method Key words: Homotopy Perturbation Method; GLH System; Approximate Solution.PACS numbers: 03.65.Ge, 05.45.Yv J.-H. Lu and C.-L. Zheng 301 Full Text Numerical Solution of a Boussinesq Type Equation Using Fourier Spectral Methods Key words: Fourier Spectral Method; Fast Fourier Transform; Boussinesq Equation; Nonlinear Waves. H. N. Hassan 305 Full Text Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons Key words: Ion Acoustic Solitons; Multispecies Plasma; Nonisothermal Distribution; Renormalization Technique. T. S. Gill, P. Bala, and H. Kaur W.-L. Feng 315 Full Text K::One-Dimensional Photonic Crystals; Epsilon-Negative; Transmission.PACS numbers: 42.70.Qs, 78.20Ci, 41.20.Jb F. Xu and Y. Chen 329 Full Text Nematic/Smectic-A Transition (NSA), Location of Tri Critical Point (TCP) in nO.m Series - A Birefringence Study Key words: nO.m Compounds; NSA Phase Transition; Tricritical Point (TCP); Birefringence. V. G. K. M. Pisipati, D. M. Latha, B. T. P. Madhav, and P. V. D. Prasad 335 Full Text Determination of Texture Orientation Related Magnetic Properties of Nickel-Cobalt Films Key words: Texture Orientation; Magnetic Easy-Axis Distribution; Ni-Co Films; Fourier Series; Magnetic Properties. M. Bayirli, H. Kockar, M. Alper, and E. Cokturen 342 Full Text EPR Study of VO2+ Doped Diammonium Tricadmium Tetrakis (Sulfate) Pentahydrate [(NH4)2Cd3(SO4)4 · 5H2O] Single Crystals Key words: EPR; ESR; Vanadyl Ion; Single Crystal. \.I. Kartal, B. Karabulut, and E. Bozkurt 347 Full Text Note Integrability Test and Travelling-Wave Solutions of Higher-Order Shallow-Water Type Equations Key words: Integrability Tests; Shallow-Water Equations; Exact Solutions.MSC2000: 37K10, 35C05 M. Maldonado, M. C. Molinero, A. Pickering, and J. Prada 353 Full Text N u m b e r 5 Original Communications Resonances of a Nonlinear Single-Degree-of-Freedom System with Time Delay in Linear Feedback Control Key words: Nonlinear Single-Degree-of-Freedom; Resonances; Time Delay; Perturbation Methods; Fixed Points; Stability. A. F. El-Bassiouny and S. El-Kholy 357 Full Text Numerical Solutions of Peristaltic Flow of a Newtonian Fluid under the Effects of Magnetic Field and Heat Transfer in a Porous Concentric Tubes Key words: Peristaltic Flow; Newtonian Fluid; Magnetic Field; Heat Transfer; Porous Concentric Tubes. S. Nadeem, N. S. Akbar, and M. Y. Malik 369 Full Text On Exact Solutions for Oscillatory Flows in a Generalized Burgers Fluid with Slip Condition Key words: Slip Effects; Exact Solutions; Modified Darcy Law. T. Hayat, S. Najam, M. Sajid, and M. Ayub 381 Full Text Blow Up of Solutions for a Viscoelastic System with Damping and Source Terms in IRn Key words: Blow Up; Viscoelastic Equation; Coupled System; Damping Term. W. Liu 392 Full Text Mixed Convection Boundary Layer Flow over a Stretching Surface Filled with a Maxwell Fluid in Presence of Soret and Dufour's Effect Key words: Series Solution; Maxwell Fluid; Heat Transfer. T. Hayata,b, T. Hayat, M. Mustafa, and S. Mesloub 401 Full Text Analytical Approach to (2+1)-Dimensional Boussinesq Equation and (3+1)-Dimensional Kadomtsev-Petviashvili Equation Key words: (2+1)-Dimensional Boussinesq Equation; (3+1)-Dimensional Kadomtsev-Petviashvili Equation; Solitary Wave Solutions; Maple Software Package. S. Sar\iayd\in and A. Y\ild\ir\im 411 Full Text Application of He's Variational Iteration Method to Nonlinear Integro-Differential Equations Key words: OHe's Variational Iteration Method; Nonlinear Integro-Differential Equations. A. Yildirim 418 Full Text Fractional Diffusion Equation and External Forces: Solutions in a Confined Region Key words: Diffusion Equation; Confined Geometry; Anomalous Diffusion. E. K. Lenzi, R. Rossato, M. K. Lenzi, L. R. d. Silva, and G. Gonçalves 423 Full Text Path Integral Treatment of a Dirac Particle in a Weak Gravitational Plane Wave K:Path Integral; Dirac Equation; Exact Solution.PACS numbers: 04.30.-w, 03.65.Ca, 03.65.Db, 03.65.Pm S. Zabat and L. Chetouani 431 Full Text Periodic Solutions of Asymptotically Linear Hamiltonian Systems without Twist Conditions Key words: Periodic Solutions; Hamiltonian Systems; Galerkin Approximation Methods; Critical Point Theory; Variational Approaches. AMS Subject Classification (2000): 34C25, 58E50 R. Cheng and D. Zhang 445 Full Text Application of the Decomposition Method of Adomian for Solving the Pantograph Equation of Order m Key words: Delay Differential Equations; Pantograph Equation of Order m; Adomian Decomposition Method; Semi-Analytical Approach. F. Shakeri and M. Dehghan 453 Full Text Lithium Isotope Effect Accompanying Electrochemical Insertion of Lithium into Liquid Gallium Key words: Lithium Isotope Effects; Electrochemical Insertion; Gallium; Molecular Orbital Calculation; Reduced Partition Function Ratio. K. Zenzai, A. Yasui, S. Yanase, and T. Oi 461 Full Text Effect of Carbon Content on the Mechanical Properties of Medium Carbon Steels Key words: Medium Carbon Steel; Yield Stress; Ultimate Tensile Stress; Elongation; Solid Solution Hardening. A. Calik, A. Duzgun, O. Sahin, and N. Ucar 468 Full Text Kekulé Structures in Fluoranthenes Key words: Kekulé Structures; Fluoranthenes. I. Gutman 473 Full Text N u m b e r 6 / 7 Original Communications Multi-Soliton Excitations and Chaotic Patterns for the (2+1)-Dimensional Breaking-Soliton System Key words: Breaking-Soliton System; Solitary Wave Solutions; Multi-Solitons; Chaotic-Solitons.PACS numbers: 05.45.Yv, 03.65.Ge L.-C. Lü, S.-H. Ma, and J.-P. Fang 477 Full Text Influence of Heat Transfer and Magnetic Field on a Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel with Partial Slip Key words: Exact Solution; Adomian Solution; Partial Slip; Peristaltic Flow; Asymmetric Channel; Heat Transfer Analysis. S. Nadeem and S. Akram 483 Full Text Thermal Radiation Effects on the Flow by an Exponentially Stretching Surface: a Series Solution Key words: Second-Grade Fluid; Porous Stretching Surface; Series Solutions. S. Nadeem, T. Hayat, M. Y. Malik, and S. A. Rajput 495 Full Text Symmetry Reductions and Exact Solutions of the (2+1)-Dimensional Navier-Stokes Equations Key words: Navier-Stokes Equations; Classical Lie Symmetry Method; Optimal System; Explicit Solution. X. Hu, Z. Dong, F. Huang, and Y. Chen 504 Full Text Homotopy Perturbation Method for Solving Nonlinear Differential-Difference Equations Key words: Homotopy Perturbation Method; Nonlinear Differential-Difference Equation; Discretized mKdV Lattice Equation; Discretized Nonlinear Schrödinger Equation. M. M. Mousa and A. Kaltayev 511 Full Text New Application of the (G'/G)-Expansion Method to Excite Soliton Structures for Nonlinear Equation Key words: (G'/G)-Expansion Method; (2+1)-Dimensional Asymmetrical Nihnik-Novikov-Veselov System; Non-Travelling Wave Solution; Soliton Structure Excitation.PACS numbers: 02.30.Jr, 05.45.Yv, 03.65.Ge B.-Q. Li and Y.-L. Ma 518 Full Text Variational Iteration Method for the Hirota-Satsuma Model Using He's Polynomials Key words: Variational Iteration Method; He's Polynomials; Hirota-Satsuma Coupled KdV Systems. S. T. Mohyud-Din and A. Yildirim 525 Full Text Piecewise-Truncated Parametric Iteration Method: a Promising Analytical Method for Solving Abel Differential Equations Key words: Piecewise-Truncated Parametric Iteration Method; Truncated Parametric Iteration Method; Parametric Iteration Method; Abel Differential Equations; Runge-Kutta MethodsPACS numbers: 02.30.Hq, 02.60.Lj J. Saberi-Nadjafi and A. Ghorbani 529 Full Text Stagnation Flow of a Jeffrey Fluid over a Shrinking Sheet Key words: Stagnation Flow; Jeffrey Fluid; Shrinking Sheet; Series Solutions. S. Nadeem, A. Hussain, and M. Khan 540 Full Text Interplay Between Dispersion and Nonlinearity in Femtosecond Soliton Management Key words: Inhomogeneous Nonlinear Schrödinger (NLS) Equation; Bright Femtosecond Solitons; Gauge Transformation.PACS numbers: 02.30.Jr, 02.30.Ik, 42.81.Dp R. Radha and V. Ramesh Kumar 549 Full Text Computer Simulations of Ordering in a Nematogen - The Role of Dielectric Medium Key words: Computer Simulations; Nematogen; Quantum Chemistry; Dielectric Medium. P. L. Praveen and D. P. Ojha 555 Full Text Thermodynamic Quantities of Square-Well Gases at Isobaric Process Key words: Square-Well Potential; Gibbs Free Energy; Isobaric Process; Critical Constants; Enthalpy Changes of Vaporization; First- and Second-Order Phase Transition. A. Matsumoto 561 Full Text
Headings and Complete Articles in PDF