Traveling wave solutions of generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony and simplified modified form of Camassa–Holm equation exp(–φ(η)) – Expansion method

•Exp(–φ(η))-expansion method•Nonlinear evolution equation•Generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation•Simplified Modified form of Camassa–Holm equation•Traveling wave solutions

In this article, we established abundant traveling wave solutions for nonlinear evolution equations. The exp(–φ(η))-expansion method is used to construct traveling wave solutions for the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation and Simplified Modified form of Camassa–Holm equation. The traveling wave solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. The proposed solutions are found to be important for the explanation of some practical physical problems in mathematical physics and engineering.