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Tri-Hamiltonian Structures of The Egorov Systems | | M.V. Pavlov
; S.P. Tsarev
; | | Date: |
16 Jun 2003 | | Journal: | Functional Analysis and Its Applications, Vol. 37, No. 1 (2003), pp. 32-45 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | | Abstract: | The description of the Egorov hydrodynamic type systems is presented in language of conservation laws. Under extra conditions of semisimplicity and homogeneity tri-Hamiltonian structures of such systems are described. Even and odd cases are related with flat and metric of constant curvature, respectively. Some important and well-known examples like averaged by Whitham approach and dispersionless limits of vector NLS and vector LSR are investigated. | | Source: | arXiv, nlin.SI/0306026 | | Services: | Forum | Review | PDF | Favorites | |
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