The investigation of exact solutions of nonlinear partial differential equations by using exp(−Φ(ξ)) method

Abstract

In this work, the methodology of the exp(−Φ(ξ)) method is given. The effectiveness of the method is demonstrated by applications to two nonlinear partial differential equations (NPDEs), namely, the Zakharov Kuznetsov–Benjamin Bona Mahony (ZK-BBM) equation and ill-posed Boussinesq equation. The obtained exact solutions are consist of trigonometric, hyperbolic and rational functions.