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.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics