NWU Institutional Repository

Conservation laws and exact solutions of Kudryashov-Sinelshchikov equation and Benney-Luke equation

Loading...
Thumbnail Image

Date

Journal Title

Journal ISSN

Volume Title

Publisher

North-West University (South Africa)

Abstract

In this dissertation we study two nonlinear partial differential equations namely; the Kudryashov-Sinclshchikov equation and the Benney-Luke equation. We employ the multiplier method to find conservation laws and Kudryashov method to obtain exact solutions for the generalized Kudryashov-Sinelshchikov equation. We derive the Noether symmetries of a generalized Benney-Luke equation. Thereafter, we construct the associated conserved vectors. In addition, we search for exact solutions for the generalized Benney-Luke equation via the extended tanh method.

Description

MSc (Applied Mathematics), North-West University, Mafikeng Campus, 2017

Keywords

Citation

Endorsement

Review

Supplemented By

Referenced By