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Lie Group Analysis of a Forced KdV Equation

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  • Motlatsi Molati
  • Chaudry Masood Khalique

Abstract

The Korteweg-de Vries (KdV) equation considered in this work contains a forcing term and is referred to as forced KdV equation in the sequel. This equation has been investigated recently as a mathematical model for waves on shallow water surfaces under the influence of external forcing. We employ the Lie group analysis approach to specify the time-dependent forcing term.

Suggested Citation

  • Motlatsi Molati & Chaudry Masood Khalique, 2013. "Lie Group Analysis of a Forced KdV Equation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-4, March.
    • Handle: RePEc:hin:jnlmpe:845843
    DOI: 10.1155/2013/845843
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