期刊文献+

A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE 被引量:2

A SIMPLE FAST METHOD IN FINDING PARTICULAR SOLUTIONS OF SOME NONLINEAR PDE
下载PDF
导出
摘要 The 'trial function method' ( TFM for short) and a routine way in finding traveling,wave solutions to some nonlinear partial differential equations( PDE for short), wer explained. Two types of evolution equations are studied, one is a generalized Burgers or KdV equation, the other is the Fisher equation with special nonlinear forms of its reaction rate term. One can see that this method is simple, fast and allowing further extension. The 'trial function method' ( TFM for short) and a routine way in finding traveling,wave solutions to some nonlinear partial differential equations( PDE for short), wer explained. Two types of evolution equations are studied, one is a generalized Burgers or KdV equation, the other is the Fisher equation with special nonlinear forms of its reaction rate term. One can see that this method is simple, fast and allowing further extension.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第3期326-331,共6页 应用数学和力学(英文版)
基金 theKeyProjectofNationalNaturalScienceFoundationofChina! ( 40 0 35 0 10 ) theSpecialFundofNationalScienceandTechnologyDepar
关键词 trial function method nonlinear PDE shock wave solution solitary wave solution trial function method nonlinear PDE shock wave solution solitary wave solution
  • 相关文献

同被引文献17

  • 1Grimshaw R H J.Slowly varying solitary waves[].Proceedings of the Royal Society of London Series A Mathematical Physical and Engineering Sciences.1979
  • 2Steeb W H,Spicker B M.Kadomtsev_Petviashvili equation with explicit x and t dependence[].Physical Review A Atomic Molecular and Optical Physics.1985
  • 3Hong W,Jung Y D.Auto_B ckland transformation and analytic solutions for general variable_coefficient KdV equation[].Physics Letters A.1999
  • 4Nirmala N,Vedan M J,Baby B V.Auto_Backland transformation, Lax pairs, Painleve property of a variable coefficient Korteweg_de Vries equation[].Journal of Mathematical Physics.1986
  • 5Hirota R.Exact N_solutions of the wave equation of long waves in shallow water and in nonlinear lattices[].Journal of Mathematical Physics.1973
  • 6Otwinowski M,Paul R,Laidlaw W G.Exact travelling wave solutions of a class of nonlinear diffusion equations by reduction to a quadrature[].Physics Letters A.1988
  • 7YANG Lei,LIU Jiang,YANG Kong_qing.Exact solutions of nonlinear PDE, nonlinear transformations and reduction of nonlinear PDE to a quadrature[].Physics Letters A.2001
  • 8TIAN Chou.Symmetries and a hierarchy of the general KdV equation[].Journal of Physics A Mathematical and General.1987
  • 9Chan W L,ZHANG Xiao.Symmetries, conservation_laws and Hamiltonian structures of the nonisospectral and variable_coefficient KdV and mKdV equations[].Journal of Physics A Mathematical and General.1995
  • 10Parkes E J,Duffy B R.Travelling solitary wave solutions to a compound KdV_Burgers equation[].Physics Letters A.1997

引证文献2

二级引证文献2

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