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

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  • Catherine Matjila
  • Ben Muatjetjeja
  • Chaudry Masood Khalique

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.

Suggested Citation

  • Catherine Matjila & Ben Muatjetjeja & Chaudry Masood Khalique, 2014. "Exact Solutions and Conservation Laws of the Drinfel’d‐Sokolov‐Wilson System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:271960
    DOI: 10.1155/2014/271960
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    References listed on IDEAS

    as
    1. Yao, Yuqin, 2005. "Abundant families of new traveling wave solutions for the coupled Drinfel’d–Sokolov–Wilson equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 301-307.
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