Dynamics of solitary waves over an erodible surface
✍ Scribed by Samuel Noubissié; Paul Woafo
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 245 KB
- Volume
- 345
- Category
- Article
- ISSN
- 0378-4371
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## Abstract We study the variable‐bottom, generalized Korteweg—de Vries (bKdV) equation ∂~__t__~__u__ = −∂~__x__~(∂__u__ + __f__(__u__) − __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
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.