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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 1, Pages 57–64
DOI: https://doi.org/10.4213/tmf10260
(Mi tmf10260)
 

This article is cited in 2 scientific papers (total in 2 papers)

Elliptic families of solutions of the constrained Toda hierarchy

A. V. Zabrodinabc

a Skolkovo Institute of Science and Technology, Moscow, Russia
b National Research University "Higher School of Economics", Moscow, Russia
c Alikhanov Institute for Theoretical and Experimental Physics, National Research Center  Kurchatov Institute,  Moscow, Russia
Full-text PDF (396 kB) Citations (2)
References:
Abstract: We study elliptic families of solutions of the recently introduced constrained Toda hierarchy, i.e., solutions that are elliptic functions of some linear combination of the hierarchical times. Equations of motion for poles of such solutions are obtained.
Keywords: constrained Toda hierarchy, elliptic solutions.
Funding agency Grant number
HSE Basic Research Program
This work has been funded within the framework of the HSE University Basic Research Program.
Received: 25.01.2022
Revised: 25.01.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 1, Pages 1362–1368
DOI: https://doi.org/10.1134/S0040577922100051
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zabrodin, “Elliptic families of solutions of the constrained Toda hierarchy”, TMF, 213:1 (2022), 57–64; Theoret. and Math. Phys., 213:1 (2022), 1362–1368
Citation in format AMSBIB
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\by A.~V.~Zabrodin
\paper Elliptic families of solutions of the~constrained Toda
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\yr 2022
\vol 213
\issue 1
\pages 57--64
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\crossref{https://doi.org/10.4213/tmf10260}
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\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 213
\issue 1
\pages 1362--1368
\crossref{https://doi.org/10.1134/S0040577922100051}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85140369282}
Linking options:
  • https://www.mathnet.ru/eng/tmf10260
  • https://doi.org/10.4213/tmf10260
  • https://www.mathnet.ru/eng/tmf/v213/i1/p57
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:151
    Full-text PDF :23
    References:28
    First page:2
     
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