Integrable hydrodynamic chains associated with Dorfman Poisson brackets

Details Integrable hydrodynamic chains associated with Dorfman Poisson brackets Integrable hydrodynamic chains associated with Dorfman Poisson brackets

2010-08-26

arxiv.org/abs/1008.4530v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

This paper is devoted to a description of integrable Hamiltonian hydrodynamic chains associated with Dorfman Poisson brackets. Three main classes of these hydrodynamic chains are selected. Generating functions of conservation laws and commuting flows are found. Hierarchies of these Hamiltonian hydrodynamic chains are extended on negative moments and negative time variables. Corresponding three dimensional quasilinear equations of the second order are presented.

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