## Abstract and Applied Analysis

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

#### 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 $({G}^{\prime }/G)$-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's approach.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 271960, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412278615

Digital Object Identifier
doi:10.1155/2014/271960

Mathematical Reviews number (MathSciNet)
MR3191028

Zentralblatt MATH identifier
07022062

#### Citation

Matjila, Catherine; Muatjetjeja, Ben; Khalique, Chaudry Masood. Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 271960, 6 pages. doi:10.1155/2014/271960. https://projecteuclid.org/euclid.aaa/1412278615

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