Exact Peakon, Periodic Peakon, Solitary Wave Solutions and Compactons of the Nesterenko Equation: Dynamical System Approach

• Hong Li ^[1] ; Jibin Li ^[2]
  1. [1] Jiujiang University

     Jiujiang University

     China

     
  2. [2] Zhejiang Normal University

     Zhejiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 5, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The traveling wave system of the Nesterenko equation is a singular nonlinear ordinary differential equation. By using the method of dynamical systems, we investigate bifurcations of phase portraits and the dynamical behavior of solutions for this singular traveling wave system (for The exact explicit parametric representations of some bounded traveling wave solutions are derived in the given parameter regions. More than 20 explicit exact parametric representations of the periodic solutions, periodic peakon, peakon, solitary wave solutions as well as compacton solutions are given.

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