Traveling wave solutions of Zakharov–Kuznetsov-modified equal-width and Burger’s equations via?exp(?φ(η))exp(?φ(η))-expansion method

摘要

Abstract In this article, a technique is proposed for obtaining better and accurate results for nonlinear PDEs. We constructed abundant exact solutions via exp $$ ( - arphi left( eta ight)) $$ ( - φ η ) -expansion method for the Zakharov–Kuznetsov-modified equal-width (ZK-MEW) equation and the (2?+?1)-dimensional Burgers equation. The traveling wave solutions are found through the hyperbolic functions, the trigonometric functions and the rational functions. The specified idea is very pragmatic for PDEs, and could be extended to engineering problems.