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    • Exact solutions to the generalized Lienard equation and its applications

      Yang Xian-Lin Tang Jia-Shi

      Research Articles Volume 71 Issue 6 December 2008 pp 1231-1245

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/071/06/1231-1245

    • Keywords

       

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

    • 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.

    • Author Affiliations

       

      Yang Xian-Lin1 2 Tang Jia-Shi1

      1. College of Mechanics and Aerospace, Hunan University, Changsha, Hunan 410082, China
      2. Hunan Radio and Television University, Changsha, Hunan 410004, China

    • Dates

       
      Published
      December 2008
      Manuscript received
      28 October 2007
      Manuscript revised
      23 February 2008
      Accepted
      12 March 2008

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