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Tau-function of the B-Toda hierarchy

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arxiv 2303.17467 v1 pith:VLDJTGOL submitted 2023-03-30 nlin.SI math-phmath.MP

Tau-function of the B-Toda hierarchy

V. Prokofev , A. Zabrodin This is my paper
classification nlin.SI math-phmath.MP
keywords hierarchyb-todatau-functionbilinearconstraintcontinuediscretizationequations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We continue the study of the B-Toda hierarchy (the Toda lattice with the constraint of type B) which can be regarded as a discretization of the BKP hierarchy. We introduce the tau-function of the B-Toda hierarchy and obtain the bilinear equations for it. Examples of soliton tau-functions are presented in the explicit form.

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  1. Integrable hierarchies with zero dispersion and elliptic curves

    nlin.SI 2026-05 unverdicted novelty 6.0

    Dispersionless limits of KP, Toda, and Pfaff-type hierarchies possess a dynamical algebraic curve (genus 0 or 1) that can be uniformized by rational, trigonometric, or elliptic functions.