Invariant Subspace Classification and Exact Explicit Solutions to a Class of Nonlinear Wave Equation

• Chang, Lina ^[1] ; Liu Hanze ^[1] ; Xiangpeng, Xin ^[1]
  1. [1] Liaocheng University

     Liaocheng University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 2, 2020
• Idioma: inglés
• DOI: 10.1007/s12346-020-00400-6
• Enlaces
  • Texto completo
• Resumen

  • In this paper, the invariant subspace classification of a class of nonlinear shallow water wave equation is given, then some exact explicit solutions to the nonlinear equation are provided by using the invariant subspace method. This method is a dynamical system method by nature, for its key step is to transform a nonlinear partial differential equation (PDE) into ordinary differential equation (ODE) systems, then by solving the ODE systems, the exact solutions to the nonlinear PDE are obtained.

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