Exact Solutions for Nonlinear Evolution Equations with Jacobi Elliptic Function Rational Expansion Method

Abstract: In this paper we implement the unified rational expansion methods, which leads to find exact rational formal polynomial solutions of nonlinear partial differential equations (NLPDEs), to the (1+1)-dimensional dispersive long wave and Clannish Random Walker’s parabolic (CRWP) equations. By using this scheme, we get some solutions of the (1+1)-dimensional dispersive long wave and CRWP equations in terms of Jacobi elliptic functions. Key words: Unified rational expansion methods · Jacobi elliptic function rational expansion method · (1+1)-dimensional dispersive long wave equation · CRWP equatio