广义Schrödinger扰动耦合系统孤子解

史娟荣; 朱敏; 莫嘉琪

doi:10.3879/j.issn.1000-0887.2016.03.010

广义Schrödinger扰动耦合系统孤子解

doi: 10.3879/j.issn.1000-0887.2016.03.010

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

基金项目: 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)

详细信息

作者简介:
史娟荣(1981—),女,副教授, 硕士（E-mail: ahjdshjr@126.com）;莫嘉琪(1937—), 男, 教授（通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn）.

中图分类号: O175.29
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- 被引次数: 0
出版历程
- 收稿日期: 2015-10-08
- 修回日期: 2015-12-02
- 刊出日期: 2016-03-15

Solitary solutions to generalized Schrödinger disturbed coupled systems

¹Anhui Technical College of Mechanical and Electrical Engineering, Wuhu, Anhui 241002, P.R.China;²School of Mathematics & Computer Science, Anhui Normal University, Wuhu, Anhui 241003, P.R.China;³Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P.R.China

Funds: The National Natural Science Foundation of China(41275062；11202106)

摘要

摘要: 研究了一类广义非线性Schrödinger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Schrödinger扰动耦合系统的近似解方便而有效
- 同伦分析方法 /
- 孤子 /
- 耦合系统
Abstract: A class of generalized nonlinear Schrödinger 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 Schrödinger 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 Schrödinger disturbed coupled systems are simple and valid.
- homotopy analysis method /
- soliton /
- coupled system

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