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Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04-12)
In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ...
Re-visiting the head-on collision problem between two solitary waves in shallow water
(Pergamon-Elsevier Science Ltd, 2015-03)
Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ...
Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution
(American Institute of Physics Inc., 2015-02-01)
In the present work, based on a one dimensional model, we consider the head-on-collision of nonlinear electron-acoustic waves in a plasma composed of a cold electron fluid, hot electrons obeying a trapped/vortex-like ...
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 ...
Modulation of generalized symmetric regularized long-wave equation: generalized nonlinear Schrödinger equation
(Freund Publishing House Ltd, 2010-12)
In this work, the application of "the modified reductive perturbation method" is extended to the generalized symmetric regularized long-wave equation for strongly dispersive case and the contribution of higher order terms ...
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 ...
Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation
(Pergamon-Elsevier Science Ltd, 2010-09)
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 non-linear waves in water of variable depth. For ...
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 2010-01)
In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ...
An analysis of higher order terms for ion-acoustic waves by use of the modified Poincar,-Lighthill-Kuo method
(Springer India, 2015-10)
In this work, by utilizing the modified Poincar,-Lighthill-Kuo (PLK) method, we studied the propagation of weakly nonlinear waves in a collisionless cold plasma and obtained the governing evolution equations of various ...
A note on the amplitude modulation of symmetric regularized long-wave equation with quartic nonlinearity
(Springer, 2012-12)
We study the amplitude modulation of a symmetric regularized long-wave equation with quartic nonlinearity through the use of the reductive perturbation method by introducing a new set of slow variables. The nonlinear ...
