The soliton perturbation theory is used to study the solitons that are governed by the generalized Korteweg-de Vries equation in the presence of perturbation terms. The adiabatic parameter dynamics of the solitons in the presence of the perturbation terms are obtained.
Changing shapes: adiabatic dynamics of composite solitary waves
β Scribed by A. Alonso Izquierdo; M.A. Gonzalez Leon; M. de la Torre Mayado; J. Mateos Guilarte
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 658 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We study the variableβbottom, generalized Kortewegβde Vries (bKdV) equation β~__t__~__u__ = ββ~__x__~(β__u__ + __f__(__u__) β __b__(__t,x__)__u__), where __f__ is a nonlinearity and __b__ is a small, bounded, and slowly varying function related to the varying depth of a channel of water
A general asymptotic method for analysis of radiative effects to the adiabatic dynamics of envelope-wave solitons is presented in the form of a modified soliton perturbation technique involving three asymptotic scales. This method is applied to a generalized NLS equation for description of both the