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- Title
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system.
- Authors
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo
- Abstract
Under consideration in this paper is a variable-coefficient generalized dispersive water-wave system which can model the propagation of the long weakly nonlinear and weakly dispersive surface waves of variable depth in shallow water. With the aid of symbolic computation and N-fold Darboux transformation, multi-soliton solutions of the system are obtained. It is found that solitonic interactions could be either the inelastic fusion-fission or elastic ones, depending on different choices of the variable coefficients. With the parameters periodically varying with time, waves change their shapes while the fusion-fission interactions also coexist and are periodic.
- Subjects
FLUID dynamics; WATER waves; DARBOUX transformations; PARTIAL differential equations; SURFACE waves (Fluids)
- Publication
Nonlinear Dynamics, 2012, Vol 69, Issue 1/2, p391
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-011-0272-3