The Hamiltonian approach in classification and integrability of hydrodynamic chains

Details The Hamiltonian approach in classification and integrability of hydrodynamic chains The Hamiltonian approach in classification and integrability of hydrodynamic chains

2006-03-24

arxiv.org/abs/nlin/0603057v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

New approach in classification of integrable hydrodynamic chains is established. This is the method of the Hamiltonian hydrodynamic reductions. Simultaneously, this approach yields explicit Hamiltonian hydrodynamic reductions of the Hamiltonian hydrodynamic chains. The concept of reducible Poisson brackets is established. Also this approach is useful for non-Hamiltonian hydrodynamic chains. The deformed Benney hydrodynamic chain is considered.

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