On an integrable two-component Camassa-Holm shallow water system
(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:
https://lup.lub.lu.se/record/1304422
- author
- Constantin, Adrian LU and Ivanov, Rossen
- organization
- publishing date
- 2008
- 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
- 2016-04-01 13:03:33
- date last changed
- 2022-04-21 19:23:30
@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}}, doi = {{10.1016/j.physleta.2008.10.050}}, volume = {{372}}, year = {{2008}}, }