Dispersionless limit of the B-Toda hierarchy

A. Zabrodin

Dispersionless limit of the B-Toda hierarchy

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arxiv 2401.05919 v2 pith:AFAIXGUT submitted 2024-01-11 nlin.SI math-phmath.MP

Dispersionless limit of the B-Toda hierarchy

A. Zabrodin This is my paper

classification nlin.SI math-phmath.MP

keywords b-todadispersionlesshierarchyc-todahierarchieslimitcompareconstraint

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We study the dispersionless limit of the recently introduced Toda lattice hierarchy with constraint of type B (the B-Toda hierarchy) and compare it with that of the DKP and C-Toda hierarchies. The dispersionless limits of the B-Toda and C-Toda hierarchies turn out to be the same.

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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.