Radiating solitary waves of a model evolution equation in fluids of finite depth

T. S. Yang; T. R. Akylas

doi:10.1016/0167-2789(95)00058-C

Radiating solitary waves of a model evolution equation in fluids of finite depth

T. S. Yang, T. R. Akylas

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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
Pages (from-to)	418-425
Number of pages	8
Journal	Physica D: Nonlinear Phenomena
Volume	82
Issue number	4
DOIs	https://doi.org/10.1016/0167-2789(95)00058-C
Publication status	Published - 1995 May 1

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Access to Document

10.1016/0167-2789(95)00058-C

Cite this

@article{45665a2fb60d4336ad928c0052a2b6b2,

title = "Radiating solitary waves of a model evolution equation in fluids of finite depth",

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.",

author = "Yang, {T. S.} and Akylas, {T. R.}",

note = "Funding Information: This work was supported by the National Science Foundation through Grant No. DMS-9202064.",

year = "1995",

month = may,

day = "1",

doi = "10.1016/0167-2789(95)00058-C",

language = "English",

volume = "82",

pages = "418--425",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier BV",

number = "4",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=0343786215&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0343786215&partnerID=8YFLogxK

U2 - 10.1016/0167-2789(95)00058-C

DO - 10.1016/0167-2789(95)00058-C

M3 - Article

AN - SCOPUS:0343786215

SN - 0167-2789

VL - 82

SP - 418

EP - 425

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 4

ER -

Radiating solitary waves of a model evolution equation in fluids of finite depth

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this