Davey-Stewartson方程的同宿轨道

张隽; 郭柏灵; 沈守枫

Davey-Stewartson方程的同宿轨道

1.
浙江工业大学理学院数学系,杭州 310014;2.北京应用物理与计算数学研究所北京应用物理与计算数学研究所,北京 100088;3.浙江大学数学系,杭州 310027

基金项目: 天元基金资助项目(A0324633)

详细信息

作者简介:
张隽(1976- ),女,浙江浦口人,博士(联系人.Tel:+86-571-85551211;E-mail:mathzj@zjut.edu.cn).

中图分类号: O175.4
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出版历程
- 收稿日期: 2003-09-22
- 修回日期: 2004-09-17
- 刊出日期: 2005-02-15

Homoclinic Orbits of the Davey-Stewartson Equations

1.
Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, P. R. China;

摘要

摘要: 研究了Davey-Stewartson方程的同宿轨道解的问题，利用Hirota方法，通过给出的相关变换，构造出Davey-Stewartson方程的同宿解，给出了同宿解的解析表达式，并讨论了Davey-Stewartson的同宿轨道．
- Davey-Stewartson方程 /
- 同宿轨道 /
- Hirota方法
Abstract: The homoclinic solutions problem of the Davey-Stewartson (DS) Equations were studied.By using the Hirota's bilinear method,the homoclinic orbits of the Davey-Stewartson Equations were obtained through the dependent variable transformation.The homoclinic orbits of the Davey-Stewartson Equations were discussed.
- Davey-Stewartson equation /
- homoclinic orbit /
- Hirota method

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参考文献(10)

[1]	Ablowitz M J, Herbst B M, Constance Schober.On the numerical solution of the sine-Gordon equation—Ⅰ:Integrable discretizations and homoclinic manifolds[J].Journal of Computational Physics,1996,126(2)：299—314. doi: 10.1006/jcph.1996.0139
[2]	Ablowitz M J, Clarkson P A.Soliton,Nonlinear Evolution Equations and Inverse Scattering[M].New York: Cambridge University Press, 1991.
[3]	Ablowitz M J, Herbst B M.On homoclinic structure and numerically induced chaos for the nonlinear Schrdinger equation[J].Society for Industrial and Applied Mathematics,1990,50(2):339—351. doi: 10.1137/0150021
[4]	Herbst B M, Ablowitz M J.Numerically induced chaos in the nonlinear Schrdinger equation[J].Physical Review Letters,1989,62(18):2065—2068. doi: 10.1103/PhysRevLett.62.2065
[5]	LI Yan-guang.Bcklund transformations and homoclinic structures for the integrable discretization of the NLS equation[J].Physics Letters A,1992,163(3):181—187. doi: 10.1016/0375-9601(92)90405-B
[6]	HU Xing-biao, GUO Bo-ling,TAM Hon-wah.Homoclinic orbits for the coupled Schringer-Boussinesq equation and coupled Higgs equation[J].Journal of the Physical Society of Japan,2003,72(1):189—190.
[7]	GUO Bo-ling,WANG Bao-xiang. The Cauchy problem for Davey-Stewartson systems[J]. Communications on Pure and Applied Mathematics, 1999,52(12):1477—1490. doi: 10.1002/(SICI)1097-0312(199912)52:12<1477::AID-CPA1>3.0.CO;2-N
[8]	Li Y. Bcklund-Darboux transformations and Melnikov analysis for Davey-Stewartson Ⅱ equations[J].Journal of Nonlinear Science,2000,10(1):103—131. doi: 10.1007/s003329910005
[9]	Cipolatti R. On the instablity of ground states for a Davey-Stewartson systems[J].Ann Inst H Poincaré Phys Théor,1993,58(1):85—104.
[10]	Hirota R.Direct methods in soliton theory[A].In:Bullough R K, Caudrey P J Eds.Solitons[C].Berlin: Springer, 1980, 157—176.

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Davey-Stewartson方程的同宿轨道

作者简介:
张隽(1976- ),女,浙江浦口人,博士(联系人.Tel:+86-571-85551211;E-mail:mathzj@zjut.edu.cn).

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Homoclinic Orbits of the Davey-Stewartson Equations

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Davey-Stewartson方程的同宿轨道

作者简介: 张隽(1976- ),女,浙江浦口人,博士(联系人.Tel:+86-571-85551211;E-mail:mathzj@zjut.edu.cn).

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出版历程

Homoclinic Orbits of the Davey-Stewartson Equations

计量

出版历程

目录

作者简介:
张隽(1976- ),女,浙江浦口人,博士(联系人.Tel:+86-571-85551211;E-mail:mathzj@zjut.edu.cn).