An automated algebraic method for finding exact solutions to nonlinear evolution equations

Based on three types of Riccati equations, an algebraic and straightforward method for finding exact travelling wave solutions to nonlinear evolution equations is proposed, and a Maple package REAM which can entirely automatically output the exact solitary wave solutions as well as periodic wave solutions is presented. Using REAM the solutions for more than one hundred nonlinear evolution equations have been obtained. Not only are previously known solutions recovered but, in some cases, new solutions or more general form of solutions are obtained.