Pramana

, Volume 71, Issue 6, pp 1231–1245 | Cite as

Exact solutions to the generalized lienard equation and its applications

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Abstract

Some new exact solutions of the generalized Lienard equation are obtained, and the solutions of the equation are applied to solve nonlinear wave equations with nonlinear terms of any order directly. The generalized one-dimensional Klein-Gordon equation, the generalized Ablowitz (A) equation and the generalized Gerdjikov-Ivanov (GI) equation are investigated and abundant new exact travelling wave solutions are obtained that include solitary wave solutions and triangular periodic wave solutions.

Keywords

The generalized Lienard equation the generalized one-dimensional Klein-Gordon equation the generalized Ablowitz equation the generalized Gerdjikov-Ivanov equation 

PACS Nos

02.30.Jr 02.30.Hq 
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Copyright information

© Indian Academy of Sciences 2008

Authors and Affiliations

  1. 1.College of Mechanics and AerospaceHunan UniversityChangshaChina
  2. 2.Hunan Radio and Television UniversityChangshaChina

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