TY - JOUR
T1 - Radiating solitary waves of a model evolution equation in fluids of finite depth
AU - Yang, T. S.
AU - Akylas, T. R.
N1 - Funding Information:
This work was supported by the National Science Foundation through Grant No. DMS-9202064.
PY - 1995/5/1
Y1 - 1995/5/1
N2 - 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.
AB - 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.
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U2 - 10.1016/0167-2789(95)00058-C
DO - 10.1016/0167-2789(95)00058-C
M3 - Article
AN - SCOPUS:0343786215
VL - 82
SP - 418
EP - 425
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 4
ER -