Now showing items 1-5 of 5
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 ...
Multiple-scale Expansion for Nonlinear Ion-acoustic Waves
(Freund Publishing House Ltd, 2010-08)
By employing the multiple-scale expansion method, the present work examines non-linear waves in a cold collision less plasma, in the long-wave limit, and obtains a set of KdV equations governing various order terms in the ...
Modulation of Generalized Symmetric Regularized Long-wave Equation: Generalized Nonlinear Schrodinger 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 ...