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Z. Naturforsch. 67a, 381 – 388
(2012)
doi:10.5560/ZNA.2012-0034
Infinite Series Symmetry Reduction Solutions to the Perturbed Coupled Nonlinear Schrödinger Equation
1 Department of Physics, Zhejiang Ocean University, Zhoushan 316004, P.R. China
2 Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
3 Department of Physics, Ningbo University, Ningbo 315211, P.R. China
Received November 10, 2011 / revised March 16, 2012 / published online July 3, 2012
Reprint requests to: X.-P. C.; E-mail:
chengxp2005@126.com
By the approximate symmetry perturbation method, the perturbed coupled nonlinear Schrödinger equation (PCNLSE) is investigated. As a result, the approximate symmetries and infinite series symmetry reduction solutions are obtained. Specially, we take the symmetry reduction for soliton solutions as an example, where the effects of perturbations on soliton solutions are briefly discussed.
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