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Travelling solitary wave solutions for the nonlinear coupled Korteweg–de Vries system

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  • Zayed, E.M.E.
  • Abourabia, A.M.
  • Gepreel, Khaled A.
  • El Horbaty, M.M.

Abstract

The objective of this paper is to investigate an algebraic method to construct an analytic solutions for the nonlinear coupled Korteweg–de Vries system. We use Jacobian and rational methods to calculate new solitary wave solutions for the nonlinear coupled Korteweg–de Vries system of partial differential equations using symbolic software like Mathematica or Maple. These studies reveal that the nonlinear coupled Korteweg–de Vries system has a rich variety of solutions.

Suggested Citation

  • Zayed, E.M.E. & Abourabia, A.M. & Gepreel, Khaled A. & El Horbaty, M.M., 2007. "Travelling solitary wave solutions for the nonlinear coupled Korteweg–de Vries system," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 292-306.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:292-306
    DOI: 10.1016/j.chaos.2006.03.065
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    References listed on IDEAS

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    1. Grimshaw, Roger & Iooss, Gerard, 2003. "Solitary waves of a coupled Korteweg-de Vries system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(1), pages 31-40.
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    Cited by:

    1. Abourabia, A.M. & El-Danaf, T.S. & Morad, A.M., 2009. "Exact solutions of the hierarchical Korteweg–de Vries equation of microstructured granular materials," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 716-726.
    2. Zayed, E.M.E. & Gepreel, Khaled A. & El Horbaty, M.M., 2009. "Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 436-452.
    3. Abourabia, Aly M. & Hassan, Kawsar M. & Morad, Adel M., 2009. "Analytical solutions of the magma equations for molten rocks in a granular matrix," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1170-1180.

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