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Davey-Stewartson方程的同宿轨道

张隽 郭柏灵 沈守枫

张隽, 郭柏灵, 沈守枫. Davey-Stewartson方程的同宿轨道[J]. 应用数学和力学, 2005, 26(2): 127-129.
引用本文: 张隽, 郭柏灵, 沈守枫. Davey-Stewartson方程的同宿轨道[J]. 应用数学和力学, 2005, 26(2): 127-129.
ZHANG Jun, GUO Bo-ling, SHEN Shou-feng. Homoclinic Orbits of the Davey-Stewartson Equations[J]. Applied Mathematics and Mechanics, 2005, 26(2): 127-129.
Citation: ZHANG Jun, GUO Bo-ling, SHEN Shou-feng. Homoclinic Orbits of the Davey-Stewartson Equations[J]. Applied Mathematics and Mechanics, 2005, 26(2): 127-129.

Davey-Stewartson方程的同宿轨道

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

Homoclinic Orbits of the Davey-Stewartson Equations

  • 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.
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    [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
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  • 被引次数: 0
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

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