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• W1723611676 abstract "New 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." @default.
• W1723611676 created "2016-06-24" @default.
• W1723611676 creator A5056308968 @default.
• W1723611676 date "2006-08-14" @default.
• W1723611676 modified "2023-09-27" @default.
• W1723611676 title "New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems" @default.
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• W1723611676 hasPublicationYear "2006" @default.
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