Multidimensional Toda Lattices: Continuous and Discrete Time

Published 25 Nov 2015 in math-ph, math.CA, and math.MP | (1511.08098v3)

Abstract: In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Toda lattices to the case of multiple orthogonal polynomials.

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