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On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3. / Ivlev, Matvey.

в: Functional Analysis and its Applications, Том 60, № 1, 31.03.2026, стр. 102-106.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Ivlev, M 2026, 'On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3', Functional Analysis and its Applications, Том. 60, № 1, стр. 102-106. https://doi.org/10.1134/S1234567826010088

APA

Ivlev, M. (2026). On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3. Functional Analysis and its Applications, 60(1), 102-106. https://doi.org/10.1134/S1234567826010088

Vancouver

Ivlev M. On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3. Functional Analysis and its Applications. 2026 март 31;60(1):102-106. doi: 10.1134/S1234567826010088

Author

Ivlev, Matvey. / On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3. в: Functional Analysis and its Applications. 2026 ; Том 60, № 1. стр. 102-106.

BibTeX

@article{be15af6801ef426d979b7875071a1c96,
title = "On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3",
abstract = "The construction of ordinary commuting differential operators is a classical problem of differential equations and integrable systems, which has applications in soliton theory. Commuting operators of rank 1 were found by Krichever. The problem of constructing operators of rank has not been solved in the general case. In all known examples of operators of rank, the spectral curves are hyperelliptic curves. In this paper, the first examples of operators of rank 2, corresponding to trigonal spectral curves of genus 3, are constructed.",
keywords = "commuting differential operators, коммутирующие дифференциальные операторы",
author = "Matvey Ivlev",
note = "Ivlev, M. On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3 / M. Ivlev // Functional Analysis and Its Applications. – 2026. – Vol. 60, No. 1. – P. 102-106. – DOI 10.1134/S1234567826010088. – EDN HNQMPS. Supported by the Russian Science Foundation (grant no. 24-11-00281), https://rscf.ru/en/project/24-11-00281/.",
year = "2026",
month = mar,
day = "31",
doi = "10.1134/S1234567826010088",
language = "English",
volume = "60",
pages = "102--106",
journal = "Functional Analysis and its Applications",
issn = "1573-8485",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3

AU - Ivlev, Matvey

N1 - Ivlev, M. On Commuting Differential Operators of Rank 2 Corresponding to Trigonal Spectral Curves of Genus 3 / M. Ivlev // Functional Analysis and Its Applications. – 2026. – Vol. 60, No. 1. – P. 102-106. – DOI 10.1134/S1234567826010088. – EDN HNQMPS. Supported by the Russian Science Foundation (grant no. 24-11-00281), https://rscf.ru/en/project/24-11-00281/.

PY - 2026/3/31

Y1 - 2026/3/31

N2 - The construction of ordinary commuting differential operators is a classical problem of differential equations and integrable systems, which has applications in soliton theory. Commuting operators of rank 1 were found by Krichever. The problem of constructing operators of rank has not been solved in the general case. In all known examples of operators of rank, the spectral curves are hyperelliptic curves. In this paper, the first examples of operators of rank 2, corresponding to trigonal spectral curves of genus 3, are constructed.

AB - The construction of ordinary commuting differential operators is a classical problem of differential equations and integrable systems, which has applications in soliton theory. Commuting operators of rank 1 were found by Krichever. The problem of constructing operators of rank has not been solved in the general case. In all known examples of operators of rank, the spectral curves are hyperelliptic curves. In this paper, the first examples of operators of rank 2, corresponding to trigonal spectral curves of genus 3, are constructed.

KW - commuting differential operators

KW - коммутирующие дифференциальные операторы

UR - https://www.mendeley.com/catalogue/a7c1bac0-e1b4-3632-8ba0-c65e2ece7509/

UR - https://www.scopus.com/pages/publications/105034649761

UR - https://elibrary.ru/item.asp?id=89160900

U2 - 10.1134/S1234567826010088

DO - 10.1134/S1234567826010088

M3 - Article

VL - 60

SP - 102

EP - 106

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 1573-8485

IS - 1

ER -

ID: 85131241