• Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients

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    • Keywords

       

      Zakharov—Kuznetsov equation; travelling wave solution; Raccati equation.

    • Abstract

       

      Travelling wave-like solutions of the Zakharov-Kuznetsov equation with variable coefficients are studied using the solutions of Raccati equation. The solitary wave-like solution, the trigonometric periodic wave solution and the rational wave solution are obtained with a constraint between coefficients. The property of the solutions is numerically investigated. It is shown that the coefficients of the equation do not change the wave amplitude, but may change the wave velocity.

    • Author Affiliations

       

      Yan-Ze Peng1 E V Krishnan2 Hui Feng1

      1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, People's Republic of China
      2. Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Sultanate of Oman
    • Dates

       
  • Pramana – Journal of Physics | News

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