Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (1): 119-129.

• Articles • Previous Articles     Next Articles

Explicit Exact Solutions for Lienard Equation with Nonlinear Terms of any Degree and its Applications

 ZHANG Wei-Guo, CHANG Qian-Shun, LI Yong-Qing-   

  1. 上海理工大学理学院 中国科学院应用数学所 华中科技大学数学系
  • Online:2005-02-25 Published:2005-02-25
  • Supported by:

    国家自然科学基金(10371023)和上海市科技发展基金(03ZR14070)资助

Abstract:

In this paper, the authors  first establish some properties of solutions for Liénard equation with nonlinear terms of any order. Then, explicit exact solutions for the Liénard equation are obtained by proper transformation and undetermined assumption method. By means of these solutions, the authors obtain explicit exact bell and kink profile solitary wave solutions for many nonlinear evolution equation with nonlinear terms of any degree. These nonlinear equations include generalized BBM type, generalized KleinGordon, generalized Pochhammer Chree and generalized wave equation.

Key words: Solitary wave; , Liénard equation; Nonlinear evolution equation exact solution; Undetermined assumption method.

CLC Number: 

  • 35Q20
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