Toda lattice with constraint of type B
Exactly Solvable and Integrable Systems
2023-08-09 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2210.12534,
title = {Toda lattice with constraint of type B},
author = {I. Krichever and A. Zabrodin},
journal= {arXiv preprint arXiv:2210.12534},
year = {2023}
}
Comments
24 pages, 1 figure