Journal of Nonlinear Mathematical Physics

Volume 14, Issue 3, October 2007, Pages 311 - 320

Variational derivation of the Camassa-Holm shallow water equation

Authors
Delia Ionescu-Kruse
Corresponding Author
Delia Ionescu-Kruse
Received 7 February 2007, Accepted 17 March 2007, Available Online 1 October 2007.
DOI
10.2991/jnmp.2007.14.3.1How to use a DOI?
Abstract

We describe the physical hypothesis in which an approximate model of water waves is obtained. For an irrotational unidirectional shallow water flow, we derive the Camassa- Holm equation by a variational approach in the Lagrangian formalism.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
14 - 3
Pages
311 - 320
Publication Date
2007/10/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2007.14.3.1How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Delia Ionescu-Kruse
PY  - 2007
DA  - 2007/10/01
TI  - Variational derivation of the Camassa-Holm shallow water equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 311
EP  - 320
VL  - 14
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2007.14.3.1
DO  - 10.2991/jnmp.2007.14.3.1
ID  - Ionescu-Kruse2007
ER  -