Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 4, November 2005, Pages 462 - 468

On the Integrability of a Class of Nonlinear Dispersive Wave Equations

Authors
Ivanov ROSSEN
Corresponding Author
Ivanov ROSSEN
Received 16 February 2005, Accepted 29 March 2005, Available Online 1 November 2005.
DOI
10.2991/jnmp.2005.12.4.2How to use a DOI?
Abstract

We investigate the integrability of a class of 1+1 dimensional models describing nolinear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, shallow water waves, etc. The only completely integrable cases coincide with the Camassa-Holm and Degasperis-Procesi equations.

Copyright
© 2006, 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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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 4
Pages
462 - 468
Publication Date
2005/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.4.2How to use a DOI?
Copyright
© 2006, 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

risenwbib
TY  - JOUR
AU  - Ivanov ROSSEN
PY  - 2005
DA  - 2005/11/01
TI  - On the Integrability of a Class of Nonlinear Dispersive Wave Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 462
EP  - 468
VL  - 12
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.4.2
DO  - 10.2991/jnmp.2005.12.4.2
ID  - ROSSEN2005
ER  -