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广义组合KdV方程与广义组合KdV-Burgers方程孤波解的条件稳定性 被引量：3

Conditional stability of the solitary wave solutions for the generalized compound KdV equation and generalized compound KdV-Burgers equation
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摘要 讨论了广义组合KdV方程和广义组合KdV Burgers方程的孤波解,在Liapunov意义下的条件稳定性.证明了当行波形式的微小扰动满足一定条件时,这两类方程的精确孤波解具有线性稳定性. The conditional stability of solitary wave solutions in Liapunov＇s index sense for the generalized compound KdV equation and generalized compound KdV-Burgers equation is discussed. Linear stability of exact solitary-wave solutions is proved for the two types of equations mentioned above, when the small disturbance in traveling wave form satisfies some conditions.
作者 张卫国 东春彦
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 EI CAS 北大核心 2006年第4期307-316,共10页 Journal of University of Shanghai For Science and Technology
基金 国家自然科学基金资助项目(10371023) 上海市重点学科建设资助项目(T0502)
关键词 广义组合KdV方程 广义组合KdV—Burgers方程 孤波解 条件稳定性 Liapunov特征指数 generalized compound KdV equation generalized compound KdV-Burgers equation solitary wave solution conditional stability Liapunov index
分类号 O175.24 [理学—基础数学]
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参考文献15

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同被引文献37

  • 1张大珩,丁丹平,洪宝剑.广义非线性超弹性杆波动方程的行波解[J].江南大学学报（自然科学版）,2006,5(5):620-623. 被引量：3
  • 2冯大河,李继彬.Jaulent-Miodek方程的行波解分支[J].应用数学和力学,2007,28(8):894-900. 被引量：9
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  • 5Song L. New exact solutions of the KdV-Burgers-Kuramotoequation [J]. Phys Lett A,2006,358(5) :5-6.
  • 6Ruan L,Gao W,Chen J. Asymptotic stability of therarefaction wave for the generalized KdV-Burgers-Kuramoto equation [J]. Nonlinear Analysis Theory,Methods and Applications,2008,68(2) :402 - 411.
  • 7Ren Y J,Zhang H Q. A generalized F-expansion methodto find abundant families of Jacobi elliptic functionsolution of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equation [J]. Chaos,Solitons & Fractals,2006,27(4):959-977.
  • 8Malfeit W. Solitary wave solutions of nonlinear waveequations [J]. Am J Phys, 1992,60(7) :650 - 654.
  • 9Soliman A. Exact solutions of KdV-Burgers equation byExp-function method [J]. Chaos, Solitons & Fractals,2009,41(2):1034-1452.
  • 10Ebaid A. Exact solitary wave solutions for somenonlinear evolution equations via exp-function method[J]. Phys Lett A,2007,365(3) :213 - 225.

引证文献3

二级引证文献4

上海理工大学学报
2006年 第4期

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