Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

On Weakly Nonlinear Shallow Water Wave Equations

Author(s):

Mohamed Al-lawatia

Department of Mathematics and Statistics
Sultan Qaboos University
P.O.Box 36, Al-Khod 123
Muscat, Sultanate of Oman

E. V. Krishnan

Department of Mathematics and Statistics
Sultan Qaboos University
P.O.Box 36, Al-Khod 123
Muscat, Sultanate of Oman

Abstract:

Using the method of Lie group of transformations and the direct method, solitary wave and explode decay mode solutions of a combined KdV-Boussinesq equation governing weakly nonlinear shallow water waves have been derived.

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