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Stability of solitary waves for three-coupled long wave-short wave interaction equations
(Oxford Univ Press, 2011-08)
In this paper, we consider a three-component system of 1D long wave-short wave interaction equations. The system has two-parameter family of solitary wave solutions. We prove orbital stability of the solitary wave solutions ...
Freezing optical rogue waves by Zeno dynamics
(Elsevier Science BV, 2018-04-15)
We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev-Peregrine soliton ...
Compressive spectral renormalization method
(Işık University Press, 2018-09-09)
In this paper a novel numerical scheme for finding the sparse self-localized states of a nonlinear system of equations with missing spectral data is introduced. As in the Petviashivili's and the spectral renormalization ...
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 ...
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 ...
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 ...
