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

Lina Chang, Hanze Liu, Xin Xiangpeng

• 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.