Extended discrete KP hierarchy and its reductions from a geometric viewpoint

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.

arXiv commentLaTeX, 9 pages

References in corpus (2)

• A class of integrable lattices and KP hierarchy
• n-th discrete KP hierarchy

Cited by in corpus (2)

• On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
• Integrable Discrete Equations Derived by Similarity Reduction of the Extended Discrete KP Hierarchy