Triangular reductions of the \(2D\) Toda hierarchy

DOI10.1007/s10688-017-0167-2zbMath1370.37127arXiv1609.05120OpenAlexW2773087242MaRDI QIDQ2364481

I. M. Krichever, A. V. Il'ina

Publication date: 21 July 2017

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05120

zbMATH Keywords

Baker-Akhiezer functionintegrable systembi-Hamiltonian theory

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (1)

Discretization of commuting ordinary differential operators of rank 2 in the case of elliptic spectral curves

Cites Work

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• Integrability of the pentagram map
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• Linear difference equations, frieze patterns, and the combinatorial Gale transform
• Soliton equations and the Riemann-Schottky problem
• Introduction to Classical Integrable Systems
• Spin chain models with spectral curves from M theory
• The pentagram map: a discrete integrable system

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