Approximate Solutions of Perturbed Nonlinear Schroedinger Equations  

作　　者：CHENG Xue-Ping YE Li-Jun LIN Ji 

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

出　　处：《Communications in Theoretical Physics》2007年第2X期227-231,共5页理论物理通讯（英文版）

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

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.

关 键 词：direct perturbation method perturbed nonlinear Schroedinger equation approximate solution 

分 类 号：O17[理学—数学]