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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2017 Volume 51, Issue 1, Pages 60–81 (Mi faa3259)
This article is cited in 2 papers

Triangular Reductions of the $2D$ Toda Hierarchy

A. V. Il'inaab, I. M. Kricheveracb

a Skolkovo Institute of Science and Technology
b National Research University "Higher School of Economics" (HSE), Moscow
c Columbia University

Abstract: New reductions of the 2D Toda equations associated with lower-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.

Keywords: integrable systems, bi-Hamiltonian theory, Baker–Akhiezer function.

UDC: 517.929

Received: 04.11.2016
Accepted: 24.01.2017

DOI: 10.4213/faa3259


 English version: Functional Analysis and Its Applications, 2017, 51:1, 48–65

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© Steklov Math. Inst. of RAS, 2026