一类非线性联立薛定谔方程的行波解分支  

Bifurcations of traveling solutions to the nonlinear simultaneous Schrdiger equation

作　　者：潘雪军[1] 章丽娜[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2009年第1期69-73,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10071196)

摘　　要：运用平面动力系统分支理论,研究了一类非线性联立薛定谔方程组,证明该方程组存在光滑孤立波解、扭结波解、无穷光滑周期波解.在不同参数条件下给出了光滑孤立波解、扭结波解、无穷光滑周期波解的各类充分条件,并给出求上述所有显示精确行波解的方法.A type of Nonlinear simultaneous Schodinger equation was studied in the light of the theory of dynamical systems and the theory of bifurcation. The existence of smooth solitary wave, kink and periodic wave solutions was proved. Sufficient conditions for the existence of smooth solitary wave solutions, kink wave solutions and periodic wave solutions under different parameters were given, the methocd of all exact explicit formula of the above solutions was also presented.

关 键 词：HAMILTON系统 联立薛定谔方程组 孤立波 周期波扭结波 

分 类 号：O175[理学—数学]