Exact Solutions in Invariant Manifolds of Some Higher-Order Models Describing Nonlinear Waves

• Li, Jibin ^[1] ; Zhou, Yan ^[2]
  1. [1] Huaqiao University

     Huaqiao University

     China

     
  2. [2] Huaqiao University, University of Science and Technology of China
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 1, 2019, págs. 183-199
• Idioma: inglés
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• Resumen

  • In this paper, we study the exact traveling wave solutions for five high-order nonlinear wave equations using the dynamical system approach. Based on Cosgrove’s work and the dynamical system method, infinitely many soliton solutions and quasi-periodic solutions are presented in an explicit form. We show the existence of uncountably infinite many double-humped solitary wave solutions. We discuss the parameters range as well as geometrical explanation of soliton solutions.