Abstract
The evolution equation proposed by Kubota et al. [J. Hydronautics 12 (1978) 157-165] and Joseph [J. Phys. A 10 (1977) 225-227] for long waves in stratified fluids of finite depth is considered. Under a small third-order-derivative dispersive perturbation, solitary-wave solutions to this model equation become weakly nonlocal - they develop oscillatory tails of infinite extent and exponentially small amplitude. Here, these tails are calculated asymptotically following a perturbation procedure in the wavenumber domain.
Original language | English |
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Pages (from-to) | 418-425 |
Number of pages | 8 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 82 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1995 May 1 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics