Hungry Volterra equation, multi boson KP hierarchy and Two Matrix Models

Abstract

We consider the hungry Volterra hierarchy from the view point of the multi boson KP hierarchy. We construct the hungry Volterra equation as the Bäcklund transformations (BT) which are not the ordinary ones. We call them ``fractional '' BT. We also study the relations between the (discrete time) hungry Volterra equation and two matrix models. From this point of view we study the reduction from (discrete time) 2d Toda lattice to the (discrete time) hungry Volterra equation.

13 pages, LaTeX

References in corpus (4)

• Constrained KP Hierarchies: Additional Symmetries, Darboux-Bäcklund Solutions and Relations to Multi-Matrix Models
• Unitary Matrix Models with a topological term and discrete time Toda equation
• Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices
• Matrix Models of Two-dimensional Gravity and Discrete Toda Theory