Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 679-691.

• Articles • Previous Articles     Next Articles

Explicit Exact Solutions for Generalized Ginzburg Landau Equation and Rangwala Rao Equation

 ZHANG Wei-Guo   

  1. 上海理工大学理学院 上海 200093
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    上海市高等学校科学技术发展基金资助项目

Abstract:

In this paper, the authors first obtain three kinds of explicit exact solution  for the liénard equation a″(ξ)+la(ξ)+ma^{2p+1}(ξ)+na^{4p+1}(ξ)=0
by proper transformation and undetermined assumption  method. By means of these solutions, the authors obtain solitary wave solutions  and perio dic wave solutions of triangle function type for generalized GinzburgLandau eq u ation and RangwalaRao equation and several nonlinear derivation Schr[AKo¨D]di nger type equations.

Key words: Exact solution, Liénard equation, Generalized Ginzburg Landau equation, Rangwala Rao equation

CLC Number: 

  • 35Q20
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