Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 1, February 2005, Pages 135 - 143

About the Explicit Characterization of Hamiltonians of the Camassa-Holm Hierarchy

Authors
Enrique Loubet
Corresponding Author
Enrique Loubet
Received 28 July 2004, Accepted 22 September 2004, Available Online 1 February 2005.
DOI
10.2991/jnmp.2005.12.1.11How to use a DOI?
Abstract

We present a detailed computation leading to an explicit formula for the fourth Hamitonian in the series of constants of motion with which any flow of the Camassa-Holm hierarchy is equipped, and explain the inherent difficulties in achieving such explicit expressions for invariants higher in the series.

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
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 1
Pages
135 - 143
Publication Date
2005/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.1.11How 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

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TY  - JOUR
AU  - Enrique Loubet
PY  - 2005
DA  - 2005/02/01
TI  - About the Explicit Characterization of Hamiltonians of the Camassa-Holm Hierarchy
JO  - Journal of Nonlinear Mathematical Physics
SP  - 135
EP  - 143
VL  - 12
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.1.11
DO  - 10.2991/jnmp.2005.12.1.11
ID  - Loubet2005
ER  -