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Extended discrete KP hierarchy and its reductions from a geometric viewpoint

A. K. Svinin
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Abstract

We interpret the recently suggested extended discrete KP (Toda lattice) hierarchy from a geometrical point of view. We show that the latter corresponds to the union of invariant submanifolds $S_0^n$ of the system which is a chain of infinitely many copies of Darboux-KP hierarchy, while the intersections $S_0^n\cap S_{l-1}^{ln-r}$ yields a number of reductions to $l$-field lattices.

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A. K. Svinin. 2004-10-02. Extended discrete KP hierarchy and its reductions from a geometric viewpoint. https://arxiv.org/abs/nlin/0205066

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