The averaging of non-local Hamiltonian structures in Whitham's method
solv-int
2017-07-28 v7 Exactly Solvable and Integrable Systems
Abstract
We consider the -phase Whitham's averaging method and propose a procedure of "averaging" of non-local Hamiltonian structures. The procedure is based on the existence of a sufficient number of local commuting integrals of a system and gives a Poisson bracket of Ferapontov type for the Whitham's system. The method can be considered as a generalization of the Dubrovin-Novikov procedure for the local field-theoretical brackets.
Keywords
Cite
@article{arxiv.solv-int/9910011,
title = {The averaging of non-local Hamiltonian structures in Whitham's method},
author = {Andrei Ya. Maltsev},
journal= {arXiv preprint arXiv:solv-int/9910011},
year = {2017}
}
Comments
Latex, 40 Pages, 1 figure