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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
    Mostrar afiliaciones +
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 1, 2021
  • Idioma: inglés
  • DOI: 10.1007/s12346-020-00442-w
  • Enlaces
  • 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.

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