(2+1)维非线性Schrodinger型方程的同宿轨道

沈守枫; 张隽

(2+1)维非线性Schrodinger型方程的同宿轨道

沈守枫,
张隽

浙江工业大学应用数学系,杭州 310023

基金项目: 国家自然科学基金资助项目(10501040)

详细信息

作者简介:
沈守枫(1977- ),男,浙江天台人,副教授,博士(联系人.E-mail:mathssf@yahoo.com.cn).

中图分类号: O175
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出版历程
- 收稿日期: 2008-05-07
- 修回日期: 2008-09-05
- 刊出日期: 2008-10-15

Homoclinic Orbits for Some (2+1)-Dimensional Nonlinear Schr^Ldinger-Like Equations

Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China

摘要

摘要: 研究了几类(2+1)维非线性Schrdinger型方程同宿轨道的问题．利用Hirota双线性算子方法，通过给出的相关变换，得到了包括(2+1)维的长短波相互作用方程，广义Zakharov方程，Mel'nikov方程和g-Schrdinger方程的同宿轨道解的显式解析表达式，从而讨论了这些方程的同宿轨道．
- 非线性Schrdinger型方程 /
- 同宿轨道 /
- Hirota双线性方法
Abstract: Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. Analytic expressions of homoclinic orbits for some(2+1)-dimensional nonlinear Schr^Ldinge-rlike equations,which include the long wave-short wave resonance interaction equation,generalization of the Zakharov equation,Mel.nikov equation and g-Schr^Ldinger equation,are constructed based on Hirota's bilinear method.
- Schr^Ldinge-rlike equation /
- homoclinic orbit /
- bilinear method

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参考文献(15)

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