Dynamics and Exact Traveling Wave Solutions of Rosenau-Hyman’s K(−2, −2) Equation

• Yanfei Dai ^[1] ; Jibin Li ^[1]
  1. [1] Zhejiang Normal University

     Zhejiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 5, 2025
• Idioma: inglés
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• Resumen

  • In this paper, we investigate dynamics and exact solutions of the traveling wave system of Rosenau-Hyman’s K(−2, −2) equation. Under given parameter conditions, bifurcations of phase portraits in the trvaling wave system are revealed. Corresponding to all bounded solutions of the traveling wave system, 16 explicit exact parametric representations are derived.