2019•AIP conference proceedingsRequires access

Travelling wave solution for some partial differential equations

Abbas H. Taqi, Muhannad A. Shallal, Borhan F. Jomaa, Khalid K. Ali

Abstract

In this paper, new travelling wave solutions for some nonlinear partial differential equations based on cosine hyperbolic - sine hyperbolic (cosh-sinh) method has been proposed. This method is used to obtain exact solutions for the nonlinear Benjamin-Bona-Mahony (BBM), Modified Benjamin-Bona-Mahony (MBBM), Dispersive Modified Benjamin- Bona-Mahony (DMBBM), (2+1)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM), and (2+1)- dimensional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equations. The travelling wave solutions are presented in terms of cosh and sinh functions. The proposed technique is an efficient and powerful mathematical method for solving a wide range of nonlinear partial differential equation.

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Available abstract

Key concepts: Hyperbolic function, Hyperbolic partial differential equation, Partial differential equation, Nonlinear system, Traveling wave, Mathematical analysis, Trigonometric functions, Method of characteristics