Asymptotical solutions of coupled nonlinear Schrodinger equations with perturbations  

作　　者：程雪苹 林机 叶丽军 

机构地区：[1]Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China [2]The Abdus Salam International Center for Theoretical Physics, Trieste 34139, Italy

出　　处：《Chinese Physics B》2007年第9期2503-2509,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 10575087） and the Natural Science Foundation of Zheiiang Province of China （Grant No 102053）. 0ne of the authors （Lin） would like to thank Prof. Sen-yue Lou for many useful discussions.

摘　　要：In this paper Lou＇s direct perturbation method is applied to the perturbed coupled nonlinear Schrodinger 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 SchrSdinger 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.In this paper Lou＇s direct perturbation method is applied to the perturbed coupled nonlinear Schrodinger 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 SchrSdinger 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.

关 键 词：direct perturbation method perturbed coupled nonlinear Schrodinger equations soli- tons asymptotical solutions 

分 类 号：O411.1[理学—理论物理]