Travelling Wave Solutions of the General Regularized Long Wave Equation

• Zheng, Hang ^[3] ; Xia, Yonghui ^[1] ; Bai, Yuzhen ^[2] ; Wu, Luoyi ^[4]
  1. [1] Zhejiang Normal University

     Zhejiang Normal University

     China

     
  2. [2] Qufu Normal University

     Qufu Normal University

     China

     
  3. [3] Zhejiang Normal University & Wuyi University
  4. [4] Wuyi University

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
• Idioma: inglés
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• Resumen

  • In this paper, we study the bifurcation and exact travelling wave solutions of the general regularized long wave (GRLW) equation. Based on the bifurcation theory of dynamical system, the various exact solutions are obtained. We consider the cases:

    p = 2n + 1 and p = 2n respectively. It is shown that GRLW equation has extra kink and anti-kink wave solutions when p = 2n + 1, while it’s not for p = 2n.