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Davey-Stewartson方程的同宿轨道 被引量：6

Homoclinic Orbits of the Davey-Stewartson Equations
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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。 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.
作者 张隽 郭柏灵 沈守枫
机构地区 浙江工业大学理学院数学系 北京应用物理与计算数学研究所 浙江大学数学系
出处 《应用数学和力学》 EI CSCD 北大核心 2005年第2期127-129,共3页 Applied Mathematics and Mechanics
基金 天元基金资助项目(A0324633)
关键词 DAVEY-STEWARTSON方程 同宿轨道 HIROTA方法 Davey-Stewartson equation homoclinic orbit Hirota method
分类号 O175.4 [理学—基础数学]
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参考文献10

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同被引文献39

  • 1ZHANGJun,GUOBoling,SHENShoufeng.Homoclinic orbits of the doubly periodic Davey-Stewartson equation[J].Progress in Natural Science:Materials International,2004,14(11):1031-1032. 被引量：2
  • 2唐卫东,庞小峰,朱德煦.DNA的振动-内激发-转子模型[J].生物数学学报,1996,11(1):65-72. 被引量：2
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  • 8Herbst B M, Ablowitz M J. Numerically induced chaos in the nonlinear Schrodinger equation [J]. Physical Reciew Letters, 1989,62(18) :2065-2068.
  • 9Ablowitz M J, Herbst B M. On homoclinic structure and numerically induced chaos for the nonlinear Schrodinger equation[J]. Society for Industrial and Applied Mathematics, 1990,50(2) :339-351.
  • 10Hirota R. Direct methods in soliton theory[A]. In: Bullough R K, Caudey E J, Eds. Solitons [C]. Berlin: Springer, 1980, 157-176.

引证文献6

二级引证文献13

应用数学和力学
2005年 第2期

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