Vitolo R. On the Hamiltonian structure of hydrodynamic-type systems in conservative form, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Raffaele Vitolo

Title: On the Hamiltonian structure of hydrodynamic-type systems in conservative form

Abstract:
We find a new criterion which allows us to effectively reconstruct third-order homogeneous Hamiltonian operators for a hydrodynamic-type system which is written as a system of conservation laws. Conversely, the criterion can be used to describe all possible hydrodynamic type systems for each given third order homogeneous Hamiltonian operator. We apply the solution of the first problem to finding third-order homogeneous Hamiltonian operators for WDVV systems. We solve the second problem for the 3-component case using our classification of 3-component homogeneous third-order Hamiltonian operators.

Slides: Vitolo R. On the Hamiltonian structure of hydrodynamic-type systems in conservative form (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf