The averaging of Hamiltonian structures in discrete variant of Whitham method

Details The averaging of Hamiltonian structures in discrete variant of Whitham method The averaging of Hamiltonian structures in discrete variant of Whitham method

1997-12-13

arxiv.org/abs/solv-int/9712010v1

Russian Math. Surveys 53:1 (1998), 214-216

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 4 Pages

Scientific paper

Paper is devoted to the construction of averaging procedure of Hamiltonian
structures in discrete Whitham method. The procedure is analogous to
Dubrovin-Novikov procedure of averaging of local field-theoretical Poisson
brackets and gives the Poisson bracket of Hydrodynamic Type starting from
Poisson bracket for a discrete chain.

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