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A numerical study of the long wave-short wave interaction equations
(Elsevier B.V, 2007-03-07)
Two numerical methods are presented for the periodic initial-value problem of the long wave-short wave interaction equations describing the interaction between one long longitudinal wave and two short transverse waves ...
Particle dynamics in the KdV approximation
(Elsevier Science BV, 2012-12)
The KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field ...
A note on the interactions of nonlinear waves governed by the generalized boussinesq equation
(Azerbaijan National Acad Sci, 2014)
In this work, based on a one dimensional model, the interaction of two solitary waves propagating in opposite directions in a fluid whose equations are governed by the generalized Boussinesq equation, by use of the ...
A note on the wave propagation in water of variable depth
(Elsevier Science Inc, 2011-11-01)
In the present work, utilizing the two dimensional equations of an incompressible inviscid fluid and the reductive perturbation method we studied the propagation of weakly nonlinear waves in water of variable depth. For ...
The modified reductive perturbation method as applied to the Boussinesq equation
(Verlag Z Naturforsch, 2007-08)
In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations of Korteweg-de Vries (KdV) hierarchy. Seeking localized travelling wave ...
An application of the modified reductive perturbation method to a generalized boussinesq equation
(Walter De Gruyter Gmbh, 2013-02)
In this work, we apply "the modified reductive perturbation method" to the generalized Boussinesq equation and obtain various form of generalized KdV equations as the evolution equations. Seeking a localized travelling ...
Nonlinear waves in fluid-filled elastic tubes: A model to large arteries
(Springer, 2007)
In the present work, by treating the arteries as a prestressed thin walled elastic tube of variable radius and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in ...
Interactions of nonlinear ion-acoustic waves in a collisionless plasma
(Elsevier Science BV, 2007-09-15)
In the present work, based on a one-dimensional model, the interaction of two solitary waves propagating in opposite directions in a collisionless plasma is investigated by use of the extended Poincare-Lighthill-Kuo (PLK) ...
A complex travelling wave solution to the KdV-Burgers equation
(Elsevier Science bv, 2005-09-19)
In the present work, making use of the hyperbolic tangent method a complex travelling wave solution to the KdV-Burgers equation is obtained. It is observed that the real part of the solution is the combination of a shock ...
Complex travelling wave solutions to the KdV and Burgers equations
(Elsevier Science Inc, 2005-03)
In the present work, making use of the hyperbolic tangent method, some complex travelling wave solutions to the Korteweg-deVries and Burgers equations are obtained. It is observed that the real part of the Solution for the ...
