New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems

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dc.creatorPavlov, Maxim V.
dc.date2006-08-14
dc.date.accessioned2026-07-07T07:25:28Z
dc.date.available2026-07-07T07:25:28Z
dc.descriptionNew Hamiltonian formalism based on the theory of conjugate curvilinear coordinate nets is established. All formulas are ``mirrored'' to corresponding formulas in the Hamiltonian formalism constructed by B.A. Dubrovin and S.P. Novikov (in a flat case) and E.V. Ferapontov (in a non-flat case). In the ``mirrored-flat'' case the Lagrangian formulation is found. Multi-Hamiltonian examples are presented. In particular Egorov's case, generalizations of local Nutku--Olver's Hamiltonian structure and corresponding Sheftel--Teshukov's recursion operator are presented. An number of Hamiltonian structures of all odd orders is found.
dc.identifierhttps://arxiv.org/abs/nlin/0608029
dc.identifierhttp://arxiv.org/abs/nlin/0608029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116728
dc.subjectExactly Solvable and Integrable Systems
dc.titleNew Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems
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