• Exact solutions to the generalized Lienard equation and its applications

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      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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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