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Funktsional'nyi Analiz i ego Prilozheniya, 2017, Volume 51, Issue 1, Pages 60–81
DOI: https://doi.org/10.4213/faa3259 (Mi faa3259) 		 
This article is cited in 2 scientific papers (total 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
Full-text PDF (298 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa3259
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
Received: 04.11.2016
Accepted: 24.01.2017
English version:
Functional Analysis and Its Applications, 2017, Volume 51, Issue 1, Pages 48–65
DOI: https://doi.org/10.1007/s10688-017-0167-2
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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