Exact traveling wave solutions of the Wu–Zhang system describing (1 + 1)-dimensional dispersive long wave

Abstract

This paper examines the effectiveness of two newly developed algorithms called the exponential rational function and modified simple equation methods in exactly solving a well-known nonlinear system of partial differential equations. In this respect, the Wu–Zhang system which describes (1 + 1)-dimensional dispersive long wave is considered, and as an achievement, a series of exact traveling wave solutions for the aforementioned system are formally extracted.