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On an integrable two-component Camassa-Holm shallow water system

Constantin, Adrian LU and Ivanov, Rossen (2008) In Physics Letters. Section A: General, Atomic and Solid State Physics 372(48). p.7129-7132
Abstract
The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics Letters. Section A: General, Atomic and Solid State Physics
volume
372
issue
48
pages
7129 - 7132
publisher
Elsevier
external identifiers
  • wos:000261605400006
  • scopus:56049084403
ISSN
0375-9601
DOI
10.1016/j.physleta.2008.10.050
language
English
LU publication?
yes
id
8e6ee9c9-05ce-4e7c-b547-8182a2024d41 (old id 1304422)
date added to LUP
2009-03-23 15:09:41
date last changed
2017-09-17 05:46:21
@article{8e6ee9c9-05ce-4e7c-b547-8182a2024d41,
  abstract     = {The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.},
  author       = {Constantin, Adrian and Ivanov, Rossen},
  issn         = {0375-9601},
  language     = {eng},
  number       = {48},
  pages        = {7129--7132},
  publisher    = {Elsevier},
  series       = {Physics Letters. Section A: General, Atomic and Solid State Physics},
  title        = {On an integrable two-component Camassa-Holm shallow water system},
  url          = {http://dx.doi.org/10.1016/j.physleta.2008.10.050},
  volume       = {372},
  year         = {2008},
}