Analysis of Traveling-Wave Solutions for a8 Field Model and a Highly Nonlinear Schrödinger Equation

• Jie Song ^[1] ; Feng Li ^[1] ; Jibin Li ^[2] ; Mingji Zhang ^[3]
  1. [1] Linyi University

     Linyi University

     China

     
  2. [2] Zhejiang Normal University

     Zhejiang Normal University

     China

     
  3. [3] New Mexico Institute of Mining and Technology

     New Mexico Institute of Mining and Technology

     Estados Unidos

     

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

  • In this study, we investigate representative explicit parametric traveling-wave solutions of a φ8 field model and a highly nonlinear Schrödinger equation. Using a dynamical systems approach, we describe representative phase-portrait bifurcations for selected parameter regimes. By analyzing selected homoclinic, heteroclinic, and periodic orbits, we derive explicit parametric representations that yield solitary, kink, and periodic wave solutions.

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