Dynamical Behavior of Traveling Wave Solutions of a Long Waves–Short Waves Resonance Model

• Temesgen Desta Leta ^[1] ; Li, Jibin ^[2]
  1. [1] Dilla University

     Dilla University

     Etiopía

     
  2. [2] Zhejiang Normal University

     Zhejiang Normal University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 741-760
• Idioma: inglés
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• Resumen

  • In this paper, we consider the model of a long waves–short waves, which model the resonant interaction between the ocean wave, to investigate the qualitative behavior of traveling wave solutions of dynamical systems. To understand the underlying complex dynamics, we apply the bifurcation method, that serve as a mechanism for fascinating the physical behavior such as solitons and we obtain all possible phase portraits of the system under various conditions depending on the parameters associated with the planar dynamical system.