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On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus. / Агапов, Сергей Вадимович; Фахриддинов, Жамолиддин Шамсиддин угли.

In: Siberian Mathematical Journal, Vol. 64, No. 5, 09.2023, p. 1063–1075.

Research output: Contribution to journal › Article › peer-review

Harvard

Агапов, СВ & Фахриддинов, ЖШУ 2023, 'On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus', Siberian Mathematical Journal, vol. 64, no. 5, pp. 1063–1075. https://doi.org/10.1134/S0037446623050014

APA

Агапов, С. В., & Фахриддинов, Ж. Ш. У. (2023). On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus. Siberian Mathematical Journal, 64(5), 1063–1075. https://doi.org/10.1134/S0037446623050014

Vancouver

Агапов СВ, Фахриддинов ЖШУ. On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus. Siberian Mathematical Journal. 2023 Sept;64(5):1063–1075. doi: 10.1134/S0037446623050014

Author

Агапов, Сергей Вадимович ; Фахриддинов, Жамолиддин Шамсиддин угли. / On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus. In: Siberian Mathematical Journal. 2023 ; Vol. 64, No. 5. pp. 1063–1075.

BibTeX

@article{00ae6d1c9c154e52a79978c038468d37,
title = "On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus",
abstract = "Bialy and Mironov demonstrated in a recent series of works that the search for polynomial first integrals of a geodesic flow on the 2-torus reduces to the search for solutions to a system of quasilinear equations which is semi-Hamiltonian. We study the various properties of this system.",
author = "Агапов, {Сергей Вадимович} and Фахриддинов, {Жамолиддин Шамсиддин угли}",
note = "Agapov was supported by the Russian Science Foundation (Grant no. 19–11–00044–P).",
year = "2023",
month = sep,
doi = "10.1134/S0037446623050014",
language = "English",
volume = "64",
pages = "1063–1075",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

TY - JOUR

T1 - On Some Properties of Semi-Hamiltonian Systems Arising in the Problem of Integrable Geodesic Flows on the Two-Dimensional Torus

AU - Агапов, Сергей Вадимович

AU - Фахриддинов, Жамолиддин Шамсиддин угли

N1 - Agapov was supported by the Russian Science Foundation (Grant no. 19–11–00044–P).

PY - 2023/9

Y1 - 2023/9

N2 - Bialy and Mironov demonstrated in a recent series of works that the search for polynomial first integrals of a geodesic flow on the 2-torus reduces to the search for solutions to a system of quasilinear equations which is semi-Hamiltonian. We study the various properties of this system.

AB - Bialy and Mironov demonstrated in a recent series of works that the search for polynomial first integrals of a geodesic flow on the 2-torus reduces to the search for solutions to a system of quasilinear equations which is semi-Hamiltonian. We study the various properties of this system.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85172409937&origin=inward&txGid=c829e2717680de41c3343fb7d2b57a0a

U2 - 10.1134/S0037446623050014

DO - 10.1134/S0037446623050014

M3 - Article

VL - 64

SP - 1063

EP - 1075

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -

ID: 55505817