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Funktsional. Anal. i Prilozhen., 2017, Volume 51, Issue 1, Pages 60–81 (Mi faa3259)  

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

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 5-100


DOI: https://doi.org/10.4213/faa3259

Full text: PDF file (298 kB)
First page: PDF file
References: PDF file   HTML file

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

Bibliographic databases:

UDC: 517.929
Received: 04.11.2016
Accepted:24.01.2017

Citation: A. V. Il'ina, I. M. Krichever, “Triangular Reductions of the $2D$ Toda Hierarchy”, Funktsional. Anal. i Prilozhen., 51:1 (2017), 60–81; Funct. Anal. Appl., 51:1 (2017), 48–65

Citation in format AMSBIB
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  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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