Approximate Solutions of Perturbed Nonlinear Schroedinger Equations

作     者：CHENG Xue-Ping YE Li-Jun LIN Ji 

作者机构：Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China The Abdus Salam International Centre for Theoretical Physics Trieste 34139 Italy 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2007年第48卷第2X期

页      面：227-231页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The project supported by National Natural Science Foundation of China under Grant No. 10575087 and the Natural Science Foundation of Zhejiang Province of China under Grant No. 102053 

主　　题：direct perturbation method perturbed nonlinear Schroedinger equation approximate solution 

摘      要：By applying Lou＇s direct perturbation method to perturbed nonlinear Schroedinger equation and the critical nonlinear SchrSdinger equation with a small dispersion, their approximate analytical solutions including the zero-order and the first-order solutions are obtained. Based on these approximate solutions, the analytical forms of parameters of solitons are expressed and the effects of perturbations on solitons are briefly analyzed at the same time. In addition, the perturbed nonlinear Schroedinger equations is directly simulated by split-step Fourier method to check the validity of the direct perturbation method. It turns out that the analytical results given by the direct perturbation method are well supported by numerical calculations.