Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System

Catherine Matjila; Ben Muatjetjeja; Chaudry Masood Khalique

doi:10.1155/2014/271960

Abstract and Applied Analysis (Jan 2014)

Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System

Catherine Matjila,
Ben Muatjetjeja,
Chaudry Masood Khalique

Affiliations

Catherine Matjila: International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
Ben Muatjetjeja: International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
Chaudry Masood Khalique: International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa

DOI: https://doi.org/10.1155/2014/271960
Journal volume & issue: Vol. 2014

Abstract

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We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's approach.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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