Seminar talk, 17 February 2016: Difference between revisions
No edit summary |
No edit summary |
||
| Line 2: | Line 2: | ||
| speaker = Maxim Pavlov | | speaker = Maxim Pavlov | ||
| title = New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems | | title = New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems | ||
| 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. | | 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. A number of Hamiltonian structures of all odd orders is found. | ||
| video = | | video = | ||
| slides = | | slides = | ||
Revision as of 12:30, 9 February 2016
Speaker: Maxim Pavlov
Title: New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems
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. A number of Hamiltonian structures of all odd orders is found.
References:
M.Pavlov, New Hamiltonian formalism and Lagrangian representations for integrable hydrodynamic type systems, arXiv:nlin/0608029