广义Schrdinger扰动耦合系统孤子解  

Solitary Solutions to Generalized Schrdinger Disturbed Coupled Systems

作　　者：史娟荣[1,2] 朱敏[3] 莫嘉琪[3] 

机构地区：[1]安徽机电职业技术学院,安徽芜湖241002 [2]上海交通大学数学系,上海200240 [3]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《应用数学和力学》2016年第3期319-330,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(41275062;11202106);安徽省高等学校省级自然科学研究项目(KJ2015A418)~~

摘　　要：研究了一类广义非线性Schrdinger扰动耦合系统.首先,利用待定系数投射的特殊方法求得了相应的无扰动耦合系统的孤子精确行波解.然后,选定对应的无扰动耦合系统的精确行波解作为扰动系统的初始近似,再用同伦分析方法,构造了一组同伦映射,依次得到原扰动耦合系统的各次近似解.最后通过举例,并参照摄动理论可以看出:由同伦分析方法得到的广义非线性Schrdinger扰动耦合系统的近似解方便而有效.A class of generalized nonlinear Schrodinger disturbed coupled systems were studied.Firstly,with a special projection method of undetermined coefficients the solitary exact travelling wave solutions to the corresponding non-disturbed coupled systems were found,which were selected as the initial approximation of the disturbed coupled systems.Next,by means of the homotopy analysis method,a set of homotopy mappings were constructed.Thus,each order of the approximate solutions to the original nonlinear Schrodinger disturbed coupled system was obtained successively with the homotopy analysis method.Finally,through the examples and the perturbation theory,it is shown that the acquired approximate solutions to the generalized nonlinear Schrodinger disturbed coupled systems are simple and valid.

关 键 词：同伦分析方法 孤子 耦合系统 

分 类 号：O175.29[理学—数学]