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2025-05-27 13:47:38

This https://arxiv.org/abs/2412.20122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Multi-component Toda lattice hierarchy
We give a detailed account of the N -component Toda lattice hierarchy. This hierarchy is an extended version of the one introduced by Ueno and Takasaki. Our version contains N discrete variables rather than one. We start from the Lax formalism, deduce the bilinear relation for the wave functions from it and then, based on the latter, prove existence of the tau-function. We also show how the multi-component Toda lattice hierarchy is embedded into the universal hierarchy which is basically the mu…