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Loubet, E (2005). About the explicit characterization of Hamiltonians of the Camassa-Holm hierarchy. Journal of Nonlinear Mathematical Physics, 12(1):135-143.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | shallow water equation, fourth Hamiltonian, invariants |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 03 Dec 2024 02:38 |
| Publisher: | Atlantis Press |
| ISSN: | 1402-9251 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.2991/jnmp.2005.12.1.11 |
Loubet, E