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About the explicit characterization of Hamiltonians of the Camassa-Holm hierarchy


Loubet, E (2005). About the explicit characterization of Hamiltonians of the Camassa-Holm hierarchy. Journal of Nonlinear Mathematical Physics, 12(1):135-143.

Abstract

We present a detailed computation leading to an explicit formula for the fourth Hamiltonian 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.

Abstract

We present a detailed computation leading to an explicit formula for the fourth Hamiltonian 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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:shallow water equation; fourth Hamiltonian; invariants
Language:English
Date:2005
Deposited On:29 Nov 2010 16:26
Last Modified:06 Dec 2017 20:47
Publisher:Atlantis Press
ISSN:1402-9251
Publisher DOI:https://doi.org/10.2991/jnmp.2005.12.1.11

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