期刊文献+

用(G′/G)-展开法求解Ginzburg-Landau方程 被引量:8

Solving Ginzburg-Landau Equation by (G'/G)-expansion Method
在线阅读 下载PDF
导出
摘要 利用最近提出的(G′/G)-展开法,获得了Ginzburg-Landau方程更多的显式行波解,分别以含两个任意参数的双曲函数、三角函数及有理函数表示,当参数取特殊值时,可得到以往文献中相关结果。 By using the (G'/G)-expansion method recently proposed,more exact travelling wave solutions of the Ginzburg-Landau equation are successfully obtained.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions contained double arbitrary parameters.When the parameters are taken as special values,the known corresponding results in previous reference are rederived.
出处 《河南科技大学学报(自然科学版)》 CAS 2008年第6期79-82,共4页 Journal of Henan University of Science And Technology:Natural Science
基金 河南省教育厅自然科学基金项目(2007110010) 河南科技大学教改项目(2007Y-052)
关键词 Ginzburg—Landau方程 (G’/G)-展开法 显式行波解 齐次平衡 Ginzburg-Landau equation (G'/G)-expansion method Exact travelling wave solution Homogeneous balance
  • 相关文献

参考文献8

二级参考文献40

  • 1Feng X. Exploratory approach to explicit solution of nonlinear evolution equations[J]. Int. J. Thero. Phys.,2000,39 : 207-222.
  • 2Wang M L. Solitary wave solutions for variant Boussinesq equations[J]. Phys. Lett., 1995, A199:169-172.
  • 3Wang M L. Exact solutions of a compound KdV-Burgers equation[J]. Phys. Lett., 1996, A213:279-287.
  • 4Wang M L and Wang Y M. A new Baecklund trandformation and multi-solutions to the KdV equation with general variable coefficients[ J ]. Phys. Lett.,2001, A287:211-216.
  • 5Zhou Y B, Wang M L and Wang Y M. Periodic wave solutions to a coupled KdV equations with variable coefficients[J]. Phys. Lett., 2003, A308:31-36.
  • 6Ablowitz M J P and Oarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering[M]. 1991,Cambridge University Press, New York.
  • 7Gu C H. et al. Soliton Theory and its Aplication[M].1990, Zhejiang Publishing House of Science and Technology, Hangzhou.
  • 8Miura M R. Baecklund Transformation[M]. 1978,Springer Verlag, Berlin.
  • 9Liu S K. et al. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations[J]. Phys. Lett., 2001, A289:69-74.
  • 10Wang Mingliang.Solitary wave solition for variant Boussinesq equation[J] .Phys.Lett.A,1995,199:169.

共引文献126

同被引文献54

引证文献8

二级引证文献20

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