Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Matjila Catherine¹,Muatjetjeja Ben¹^ORCID,Khalique Chaudry Masood¹^ORCID

Affiliation:

1. 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

Abstract

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.

Funder

North-West University

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/271960.pdf

Reference31 articles.

1. New exact solutions for the classical Drinfel’d–Sokolov–Wilson equation

2. New exact solutions for three nonlinear evolution equations

3. Exact solutions of the classical Drinfel'd–Sokolov–Wilson equations and the relations among the solutions