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Matematicheskie Zametki, 2015, Volume 97, Issue 3, Pages 350–358
DOI: https://doi.org/10.4213/mzm10451 (Mi mzm10451) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Self-Adjoint Commuting Differential Operators of Rank 2 and Their Deformations Given by Soliton Equations

V. N. Davletshinaab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (483 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10451
Abstract: Deformations of commutative rings of self-adjoint ordinary differential operators of rank 2 given by soliton equations are studied.
Keywords: differential operator of rank 2, commutative ring, Tyurin parameter, soliton equation, Krichever–Novikov hierarchy, Krichever–Novikov equation, Korteweg–de Vries equation, Baker–Akhiezer function, Kadomtsev–Petviashvili equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.B25.31.0029
Russian Foundation for Basic Research 12-01-00124а
This work was supported by the Grant of the Government of the Russian Federation for Support of Scientific Studies (grant no. 14.V25.31.0029) and by the Russian Foundation for Basic Research (grant no. 12-01-00124a).
Received: 02.12.2013
Revised: 16.12.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 3, Pages 333–340
DOI: https://doi.org/10.1134/S0001434615030049
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: V. N. Davletshina, “Self-Adjoint Commuting Differential Operators of Rank 2 and Their Deformations Given by Soliton Equations”, Mat. Zametki, 97:3 (2015), 350–358; Math. Notes, 97:3 (2015), 333–340
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10451
  • https://www.mathnet.ru/eng/mzm/v97/i3/p350
    • This publication is cited in the following 1 articles:
    1. A. E. Mironov, “Self-adjoint commuting differential operators of rank two”, Russian Math. Surveys, 71:4 (2016), 751–779  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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