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Toda lattice with constraint of type B

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arxiv 2210.12534 v1 pith:6UPMAGBH submitted 2022-10-22 nlin.SI math-phmath.MP

I. Krichever , A. Zabrodin This is my paper · ORCID
classification nlin.SImath-phmath.MP
keywords constraintlatticetodahierarchyalgebraic-geometricalconstructdefineddifferential-difference
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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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