Standard

Novikov equations for commuting differential operators of orders 3,4,5. / Шабат, Г.Б.; Соколов, В.В.; Цыганов, Андрей Владимирович.

в: Journal of Geometry and Physics, Том 220, 105720, 01.02.2026.

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

Harvard

Шабат, ГБ, Соколов, ВВ & Цыганов, АВ 2026, 'Novikov equations for commuting differential operators of orders 3,4,5', Journal of Geometry and Physics, Том. 220, 105720. https://doi.org/10.1016/j.geomphys.2025.105720

APA

Шабат, Г. Б., Соколов, В. В., & Цыганов, А. В. (2026). Novikov equations for commuting differential operators of orders 3,4,5. Journal of Geometry and Physics, 220, [105720]. https://doi.org/10.1016/j.geomphys.2025.105720

Vancouver

Шабат ГБ, Соколов ВВ, Цыганов АВ. Novikov equations for commuting differential operators of orders 3,4,5. Journal of Geometry and Physics. 2026 Февр. 1;220. 105720. https://doi.org/10.1016/j.geomphys.2025.105720

Author

Шабат, Г.Б. ; Соколов, В.В. ; Цыганов, Андрей Владимирович. / Novikov equations for commuting differential operators of orders 3,4,5. в: Journal of Geometry and Physics. 2026 ; Том 220.

BibTeX

@article{ea049e54e24a44539857b7f6625afa12,
title = "Novikov equations for commuting differential operators of orders 3,4,5",
abstract = "We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations.",
keywords = "Compatible Poisson brackets, Novikov equations, Separation of variables",
author = "Г.Б. Шабат and В.В. Соколов and Цыганов, {Андрей Владимирович}",
year = "2026",
month = feb,
day = "1",
doi = "10.1016/j.geomphys.2025.105720",
language = "English",
volume = "220",
journal = "Journal of Geometry and Physics",
issn = "0393-0440",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Novikov equations for commuting differential operators of orders 3,4,5

AU - Шабат, Г.Б.

AU - Соколов, В.В.

AU - Цыганов, Андрей Владимирович

PY - 2026/2/1

Y1 - 2026/2/1

N2 - We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations.

AB - We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method of compatible Poisson brackets, we find a separation of variables on a hyperelliptic curve of genus 2 for the Novikov equations.

KW - Compatible Poisson brackets

KW - Novikov equations

KW - Separation of variables

UR - https://www.sciencedirect.com/science/article/abs/pii/S0393044025003055

UR - https://www.mendeley.com/catalogue/28428808-a6f9-39eb-a0d7-5ade3b071d49/

U2 - 10.1016/j.geomphys.2025.105720

DO - 10.1016/j.geomphys.2025.105720

M3 - Article

VL - 220

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

M1 - 105720

ER -

ID: 144822451