Pavlov M. Gelfand-Dorfman Poisson brackets and classification of the corresponding three-dimensional quasilinear equations of the second order, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Maxim Pavlov

Title: Gelfand-Dorfman Poisson brackets and classification of the corresponding three-dimensional quasilinear equations of the second order

Abstract:
We construct Hamiltonian integrable hydrodynamic chains associated with infinitely many component Gelfand-Dorfman Poisson brackets. We describe the corresponding three-dimensional quasilinear equations of the second order.