Asymptotical solutions of coupled nonlinear Schrödinger equations with perturbations
Cheng Xue-Ping(程雪苹)a)b), Lin Ji(林机)a)b)†, and Ye Li-Jun(叶丽军)a)
a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b The Abdus Salam International Center for Theoretical Physics, Trieste 34139, Italy
Abstract In this paper Lou's direct perturbation method is applied to the perturbed coupled nonlinear Schrödinger equations to obtain their asymptotical solutions, which include not only the zero-order solutions but also the first-order modifications. Based on the asymptotical solutions, the effects of perturbations on soliton parameters and the collision between two solitons are then discussed in brief. Furthermore, we directly simulate the perturbed coupled nonlinear Schrödinger equations by split-step Fourier method to check the validity of the direct perturbation method. It turns out that our analytical results are well supported by the numerical calculations.
Received: 30 August 2006
Revised: 03 February 2007
Accepted manuscript online:
Fund: Project supported by the
National Natural Science Foundation of China (Grant No 10575087)
and the Natural Science Foundation of Zhejiang Province of China
(Grant No 102053).
Cite this article:
Cheng Xue-Ping(程雪苹), Lin Ji(林机), and Ye Li-Jun(叶丽军) Asymptotical solutions of coupled nonlinear Schrödinger equations with perturbations 2007 Chinese Physics 16 2503
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