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On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface. / Abdikalikova, Gulshat; Mironov, Andrey Evgenevich.

в: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 949-954.

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

Harvard

Abdikalikova, G & Mironov, AE 2019, 'On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface', Сибирские электронные математические известия, Том. 16, стр. 949-954. https://doi.org/10.33048/semi.2019.16.063

APA

Abdikalikova, G., & Mironov, A. E. (2019). On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface. Сибирские электронные математические известия, 16, 949-954. https://doi.org/10.33048/semi.2019.16.063

Vancouver

Abdikalikova G, Mironov AE. On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface. Сибирские электронные математические известия. 2019 янв. 1;16:949-954. doi: 10.33048/semi.2019.16.063

Author

Abdikalikova, Gulshat ; Mironov, Andrey Evgenevich. / On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface. в: Сибирские электронные математические известия. 2019 ; Том 16. стр. 949-954.

BibTeX

@article{f52e8c72437c4f1b8bbb9b3792fffe5a,
title = "On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface",
abstract = "In this paper, for the first time, explicit solutions of a semi-Hamiltonian system of quasi- linear differential equations by the generalized hodograph method are found. These solutions define (local) metrics on a surface for which the geodesic flow has a polynomial in momenta integrals of the fourth degree.",
keywords = "Integrable geodesic flows, The generalized hodograph method",
author = "Gulshat Abdikalikova and Mironov, {Andrey Evgenevich}",
year = "2019",
month = jan,
day = "1",
doi = "10.33048/semi.2019.16.063",
language = "English",
volume = "16",
pages = "949--954",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On exact solutions of a system of quasi-linear equations describing integrable geodesic flows on a surface

AU - Abdikalikova, Gulshat

AU - Mironov, Andrey Evgenevich

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, for the first time, explicit solutions of a semi-Hamiltonian system of quasi- linear differential equations by the generalized hodograph method are found. These solutions define (local) metrics on a surface for which the geodesic flow has a polynomial in momenta integrals of the fourth degree.

AB - In this paper, for the first time, explicit solutions of a semi-Hamiltonian system of quasi- linear differential equations by the generalized hodograph method are found. These solutions define (local) metrics on a surface for which the geodesic flow has a polynomial in momenta integrals of the fourth degree.

KW - Integrable geodesic flows

KW - The generalized hodograph method

UR - http://www.scopus.com/inward/record.url?scp=85071187618&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=42735107

U2 - 10.33048/semi.2019.16.063

DO - 10.33048/semi.2019.16.063

M3 - Article

AN - SCOPUS:85071187618

VL - 16

SP - 949

EP - 954

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 21348581