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

A. R. Seadawy, W. Amer and A. Sayed

Journal of Applied Mathematics, 2014, vol. 2014, 1-11

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:839485

DOI: 10.1155/2014/839485

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