Extended discrete KP hierarchy and its reductions from a geometric viewpoint

Details Extended discrete KP hierarchy and its reductions from a geometric viewpoint Extended discrete KP hierarchy and its reductions from a geometric viewpoint

2002-05-30

arxiv.org/abs/nlin/0205066v3

Lett. Math. Phys. V. 61 (2002), P. 231-239

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 9 pages

Scientific paper

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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