arXiv · solv-int/9902008
The discrete KP, or 1-Toda lattice hierarchy is the same as a properly defined modified KP hierarchy.
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L. A. Dickey. 1999-02-06. Modified KP and Discrete KP. https://arxiv.org/abs/solv-int/9902008
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We consider the $m$-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.
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