Eur. Phys. J. Plus (2018) 133: 496
https://doi.org/10.1140/epjp/i2018-12317-2

Regular Article

Solutions and conservation laws of a generalized 3D Kawahara equation

International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, 2735, Mmabatho, South Africa

^* e-mail: ldmoleleki@webmail.co.za

Received: 9 July 2018
Accepted: 14 October 2018
Published online: 5 December 2018

Abstract

We study a nonlinear evolution partial differential equation, namely, the generalized -dimensional (3D) Kawahara equation. The Lie symmetry method in conjunction with the Kudryashov method will be employed to derived solutions of the 3D generalized Kawahara equation. Furthermore, the multiplier method will be implemented to construct conservation laws of the generalized 3D Kawahara equation. Thereafter, a brief physical meaning of the derived conserved quantities is discussed.