期刊文献+

一类修正Camassa-Holm方程的行波解分支

Bifurcations of travelling wave solutions for a modified Camassa-Holm equation
下载PDF
导出
摘要 研究了一类修正Camassa-Holm方程,利用动力系统分支理论给出了这类方程可能存在的行波解的参数条件. This paper studies a type of modified Camassa-Holm equation, and by using the bifurcation theory of dynamical systems, obtains the parameter conditions for traveling wave solutions.
出处 《西南民族大学学报(自然科学版)》 CAS 2012年第4期538-541,共4页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 行波解 波的光滑性 尖波 traveling wave solution smoothness of wave cusp wave
  • 相关文献

参考文献4

二级参考文献15

  • 1CHOW S N. , HALE J K. Method of bifurcation theory[ M ]. New York: Springer- Verlag, 1981.
  • 2GUCKENHEIMER J, HOLMES P J. Nonlinear oscillations, dynamical systems and bifurcations of vector fields[M]. New York, Springer - Verlag, 1983.
  • 3GUHA - ROY C. Solitary wave solutions of system of coupled nonlinear equations [ J ]. J. Math. Phys. 1987,28 (9) : 2087 -2088.
  • 4LI Jibin, LIU Zhengrong. Smooth and non - smooth traveling waves in a nonlinearly dispersive equation[J]. Appl. Math. Modelling, 2000,25:41 - 56.
  • 5FAN En-gui. Uniformly constructing a series of explict exact solutions to nonlinear equations in mathematical physics[ J ]. Chaos, Solitons and Fractals, 2003,16: 819-839.
  • 6LI Ji-bin, CHEN Guang-rong. Bifurcations of travelling wave solutions for four classes of nonlinear wave equations[J]. Internat J Bifucution and Chaos ,2005,15(12) :3973-3998.
  • 7ZHANG Wei-guo, CHANG Qian-shun,JIANG Bao-guo. Explict exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers equations with nolinear terms of any order[ J]. Chaos Solitons and Fractals ,2002,13:311-319.
  • 8Parkes E J, Duffy B R. Travelling wave solutions to a compound KdV-Burgers equation[ J] .Phys Letter A, 1997,220(4) :217-220.
  • 9FENG Zhao-sheng. A note on "Explict exact solutions to the compound KdV equation"[ J]. Phys Letter A, 2003,312: 65-71.
  • 10LI Biao, CHE Yong,ZHANG Hong-qing.Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation[ J]. Appl Math Comput, 2003,146(2 ) : 653-666.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部