School Seminars and Colloquia

The construction of the 2-Toda hierarchy

Statistical Mechanics/Combinatorics/Algebra

by Matthew Zuparic

Institution: The University of Melbourne
Date: Tue 17th March 2009
Time: 1:00 PM
Location: Room 107

Abstract: The finite Toda hierarchy with 2 sets of time variables is
one of the more general classical hierarchies of an infinite amount of
integrable non linear partial differential equations. During this talk I
shall demonstrate how the all important bilinear equation of the hierarchy
can be constructed from a matrix "initial value problem" first considered
by K. Takasaki. The major advantage of this construction is then made
apparent as one is left with a very elegant method of generating
explicit polynomial solutions for the tau-function of the hierarchy.

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