Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

Abstract

In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation. This method is one of the powerful techniques that come into view in recent time for establishing more exact wave solutions to nonlinear partial differential equations. We have achieved some new exact solutions including soliton and periodic wave solutions with arbitrary parameters and the solutions are expressed in terms of hyperbolic and trigonometric functions. The efficiency of this method for finding exact solutions has been established. It is shown that the enhanced (G'/G)-expansion method is direct, effective and can be used for many other nonlinear partial differential equations in mathematical physics and engineering.

Keywords

• 35C07
• 35C08
• 35K05
• 35P99