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On head-on collision between two solitary waves in shallow water: the use of the extended PLK method
(Springer, 2015-10-01)
In the present work, we examined the head-on collision of solitary waves in shallow water theory, through the use of extended Poincare–Lighthill–Kuo (PLK) method based on the combination of reductive perturbation method ...
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], ...
An analysis of higher order terms for ion-acoustic waves by use of the modified Poincar,-Lighthill-Kuo method
(Indian Nat Sci Acad, 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 ...
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 ...
A note on the wave propagation in water of variable depth
(ELSEVIER SCIENCE INC., 2011-11)
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 modified reductive perturbation method to long water waves
(PERGAMON-ELSEVIER SCIENCE LTD, 2011-12)
In this work, we extended the application of "the modified reductive perturbation method" to long water waves and obtained the governing equations as the KdV hierarchy. Seeking a localized travelling wave solutions to these ...
Multiple time scale formalism and its application to long water waves
(ELSEVIER SCIENCE INC, 2010-05)
In the present work, by employing the multiple time scaling method, we studied the non-linear waves in shallow-water problem and obtained a set of Korteweg-deVries equations governing the various order terms in the ...
Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation
(Elsevier 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 ...
Interactions of nonlinear electron-acoustic solitary waves with vortex electron distribution
(AMER INST PHYSICS, 2015-02)
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 ...