New travelling wave solutions for fractional regularized long-wave equation and fractional coupled Nizhnik-Novikov-Veselov equation

Abstract

In this paper, solitary-wave ansatz and the (G′/G)−expansion methods havebeen used to obtain exact solutions of the fractional regularized long-wave(RLW) and coupled Nizhnik-Novikov-Veselov (NNV) equation. As a result,three types of exact analytical solutions such as rational function solutions,trigonometric function solutions, hyperbolic function solutions are formallyderived from these equations. Proposed methods are more powerful and canbe applied to other fractional differential equations arising in mathematicalphysics.