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Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations

Author

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  • A. R. Seadawy
  • W. Amer
  • A. Sayed

Abstract

The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves. The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods. The present results are describing the generation and evolution of such waves, their interactions, and their stability. Moreover, the methods can be applied to a wide class of nonlinear evolution equations. All solutions are exact and stable and have applications in physics.

Suggested Citation

  • A. R. Seadawy & W. Amer & A. Sayed, 2014. "Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, March.
    • Handle: RePEc:hin:jnljam:839485
    DOI: 10.1155/2014/839485
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