非线性Schrodinger方程的行波解分支  

Bifurcations of Traveling Wave Solution for Nonlinear Schrodinger Equations

作　　者：黎明[1] 

机构地区：[1]曲靖师范学院数学与信息科学学院,云南曲靖650011

出　　处：《昆明理工大学学报（理工版）》2009年第2期89-94,103,共7页Journal of Kunming University of Science and Technology(Natural Science Edition)

基　　金：云南省自然科学基金资助项目(项目编号:2006B0081M);云南省教育厅科研基金资助项目(项目编号:07C11484)

摘　　要：利用平面动力系统分支理论,证明了非线性Schrodinger方程孤立行波、周期波、扭子与反扭子波解的存在性.得到了在不同参数条件下,方程的所有孤立行波解、扭波解和反扭波解、周期波解的显示精确表示.The nonlinear Schrodinger equations are studied in this paper. Based on the bifurcation theory of dynamical systems, the existence of their solitary wave, kink and anti-kink wave, and periodic wave solution is proved. Under different parametric conditions, all possible exact parametric representations of solitary wave, kink and anti-kink wave, and periodic wave solutions are obtained and classified.

关 键 词：非线性方程 周期波解 非线性光纤 短脉冲 

分 类 号：O175.14[理学—数学]