New Exact Solutions to a Class of Nonlinear Evolution Equations with Symbolic Computations

Abstract

Searching for exact solutions to nonlinear evolution equations is an important topic in mathematical physics and engineering. Many methods of finding exact solutions have been presented such as the inverse scattering method, algebraic method and so on. In this paper, by using Fan sub-equation method with the help of Maple, several meaningful solutions are obtained including bell shape solutions, trigonometric function solutions, twist shape solutions and Jacobi elliptic function solutions for a class of nonlinear evolution equation. This method can be applied to other nonlinear partial differential equations.