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Coupled quintic nonlinear Schrodinger equations in a generalized elastic solid
(IOP Publishing Ltd, 2004-10-08)
In the present study, the nonlinear modulation of transverse waves propagating in a cubically nonlinear dispersive elastic medium is studied using a multiscale expansion of wave solutions. It is found that the propagation ...
Optical soliton solutions of the fractional perturbed nonlinear schrodinger equation
(Işık University Press, 2020)
This paper is interested in a set of conformable fractional derivative for constructing optical soliton solutions to the fractional perturbed nonlinear Schrödinger equation. The powerful Kudryashov method is the integration ...
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 ...
Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation
(Springer Science and Business Media, LLC, 2008)
In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the ...
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 ...
Interaction of nonlinear waves governed by Boussinesq equation
(Elsevier Ltd, 2006-12)
In the present work, the nonlinear interactions of two acoustical waves governed by the Boussinesq equation with different wave numbers, frequencies and the group velocities are examined. For that purpose, we used the ...
A note on the progressive wave solution of the perturbed Korteweg-deVries equation with variable dissipation
(Elsevier Science Inc, 2014-12-01)
In this note, utilizing the method presented in Engelbrecht (1991) and Demiray (2002) we have studied the propagation of progressive waves in perturbed KdV equation with variable dissipation coefficient. The cases of ...
A travelling wave solution to the KdV-Burgers equation
(Elsevier Inc, 2004-07-15)
In the present work, by introducing a new potential function and by using the hyperbolic tangent method and an exponential rational function approach, a travelling wave solution to the KdV-Burgers (KdVB) equation is ...
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) ...
