Hamiltonian formalism in a problem of 3-th waves hierarchy

Details Hamiltonian formalism in a problem of 3-th waves hierarchy Hamiltonian formalism in a problem of 3-th waves hierarchy

2007-04-12

arxiv.org/abs/0704.1649v1

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, no figures

Scientific paper

By the method of discrete transformation equations of 3-th wave hierarchy are constructed. We present in explicit form two Poisson structures, which allow to construct Hamiltonian operator consequent application of which leads to all equations of this hierarchy. For calculations it will be necessary results of previous paper \cite{1}, which for convenience of the reader we present in corresponding place of the text. The obtained formulae are checked by independent calculations.

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