Traveling Wave Solutions of a Generalized Burgers-αβ Equation

• Zhu, Wenjing ^[1] ; Xia, Yonghui ^[2]
  1. [1] Zhejiang Normal University

     Zhejiang Normal University

     China

     
  2. [2] China Jiliang University

     China Jiliang University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 1, 2022
• Idioma: inglés
• DOI: 10.1007/s12346-021-00558-7
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we investigate the bifurcations and exact traveling wave solutions of a generalized Burgers-αβ equation. Employing the bifurcation theory of planar dynamical system, we obtain the phase portraits of the corresponding traveling wave system. The existence of the singular straight line ϕ=c leads to the dynamical behavior of solutions with two scales. Corresponding to some special level curves, we give the exact explicit parametric representations of smooth and non-smooth solutions under different parameter conditions, including solitary wave solutions and peakon solutions.

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