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Modified KdV方程的几种新精确解

New Exact Solutions to Modified KdV Equation
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摘要 利用EXP-函数展开法及一个变换技巧,再次研究了Modified KdV方程,获得了一些与现有文献中的解的结构不相同的新类型的精确解,从而丰富了相关文献中关于Modified KdV方程的精确解的类型. In this paper,by using the Exp-function method and a technique of transformation,another study of modified KdV equation was made.Some new types of exact solutions which are different from existing solutions in the form are obtained,and thus the types of solutions to KdV equation are enriched.
作者 李薇 蔡炯辉
出处 《玉溪师范学院学报》 2008年第4期1-6,共6页 Journal of Yuxi Normal University
基金 云南省教育厅自然科学基金资助项目 编号:06Y147A
关键词 MODIFIED KDV方程 EXP-函数展开法 精确解 Modified KdV equation Exp-function method exact solution
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参考文献5

  • 1[1]ZHU J.-M..New explicit exact solutions of the mKdV equation using the variational iteration method combined with Exp -function method[J].Chaos,Solitons and Fractals.doi:10.1016/j.chaos,2007,(8):51.
  • 2[2]ZHU Y.,CHANG Q.,Wu S..Exact solitary-wave solutious with compact support for the modified kdv equation[J].Chaos,Solitons and Fractals,2005,(24):365-369.
  • 3[3]HE J.-H.,WU X.-H..Exp -function method for nonlinear wave equations[J].Fractals,2006,(30):700-708.
  • 4[4]ZHANG S..Application of Exp-function method to a KdV equation with variable coefficients[J].Physics Letters A,2007(365):448-453.
  • 5[5]Ebaid A..Exact solitary wave solution for some nonlinear evolution equations via Exp-function method[J].Physics Letters A,2007,(365):213-219.

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