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

Publication date: Available online 16 March 2016 Source:Egyptian Journal of Basic and Applied Sciences Author(s): Ayyaz Ali, Muhammad Asad Iqbal, Syed Tauseef Mohyud-Din 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.

Source: Egyptian Journal of Basic and Applied Sciences - March 17, 2016 Category: Science Source Type: research