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Toda lattice with constraint of type B

Published 22 Oct 2022 in nlin.SI, math-ph, and math.MP | (2210.12534v1)

Abstract: We introduce a new integrable hierarchy of nonlinear differential-difference equations which is a subhierarchy of the 2D Toda lattice defined by imposing a constraint to the Lax operators of the latter. The 2D Toda lattice with the constraint can be regarded as a discretization of the BKP hierarchy. We construct its algebraic-geometrical solutions in terms of Riemann and Prym theta-functions.

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