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

Aly R. Seadawy | Zendy; W. S. Amer | Zendy; Aya Sayed | Zendy

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

Author(s) -

Aly R. Seadawy,

W. S. Amer,

Aya Sayed

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/839485

Subject(s) - korteweg–de vries equation , traveling wave , stability (learning theory) , mathematics , amplitude , nonlinear system , mathematical analysis , order (exchange) , hyperbolic function , physics , computer science , optics , quantum mechanics , machine learning , economics , finance

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

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