Classification of integrable Hamiltonian hydrodynamic chains associated with Kupershmidt’s brackets
| Autor: | Eugene V. Ferapontov, Maxim V. Pavlov, Karima R. Khusnutdinova, D.G. Marshall |
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| Rok vydání: | 2006 |
| Předmět: |
Conservation law
Nonlinear Sciences - Exactly Solvable and Integrable Systems Integrable system FOS: Physical sciences Statistical and Nonlinear Physics Nonlinear Sciences - Adaptation and Self-Organizing Systems symbols.namesake symbols Exactly Solvable and Integrable Systems (nlin.SI) Hamiltonian (quantum mechanics) Adaptation and Self-Organizing Systems (nlin.AO) Mathematical Physics Mathematics Mathematical physics |
| Zdroj: | Journal of Mathematical Physics. 47:103507 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.2354590 |
| Popis: | We characterize a class of integrable Hamiltonian hydrodynamic chains, based on the necessary condition for the integrability provided by the vanishing of the Haantjes tensor. We prove that the vanishing of the first few components of the Haantjes tensor is already sufficiently restrictive, and allows a complete description of the corresponding Hamiltonian densities. In each of the cases we were able to explicitly construct a generating function for conservation laws, thus establishing the integrability. Comment: 14 pages |
| Databáze: | OpenAIRE |
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