REDUCTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATION AND EXACT SOLUTIONS

摘要

Nonlinear partial differetial equation(NLPDE) is converted into ordinary differential equation(ODE) via a new ansatz. Using undetermined function method, the ODE obtained above is replaced by a set of algebraic equations which are solved out with the aid of Mathematica. The exact solutions and solitary solutions of NLPDE are obtained.