Standard

Discretization and superintegrability all rolled into one. / Tsiganov, A.

In: Nonlinearity, Vol. 33, No. 9, 09.2020, p. 4924-4939.

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

Harvard

Tsiganov, A 2020, 'Discretization and superintegrability all rolled into one', Nonlinearity, vol. 33, no. 9, pp. 4924-4939. https://doi.org/10.1088/1361-6544/ab9243

APA

Tsiganov, A. (2020). Discretization and superintegrability all rolled into one. Nonlinearity, 33(9), 4924-4939. https://doi.org/10.1088/1361-6544/ab9243

Vancouver

Tsiganov A. Discretization and superintegrability all rolled into one. Nonlinearity. 2020 Sep;33(9):4924-4939. https://doi.org/10.1088/1361-6544/ab9243

Author

Tsiganov, A. / Discretization and superintegrability all rolled into one. In: Nonlinearity. 2020 ; Vol. 33, No. 9. pp. 4924-4939.

BibTeX

@article{034fcf28b8914fd9a19cf4d969a9ac40,
title = "Discretization and superintegrability all rolled into one",
abstract = "Abelian integrals appear in mathematical descriptions of various physical processes. According to Abel's theorem these integrals are related to motion of a set of points along a plane curve around fixed points, which are rarely used in physical applications. We propose to interpret coordinates of the fixed points either as parameters of exact discretization or as additional first integrals for equations of motion reduced to Abelian quadratures on a symmetric product of algebraic curve.",
keywords = "Abel theorem, exact discretization, superintegrable systems, BACKLUND-TRANSFORMATIONS, SYSTEMS",
author = "A. Tsiganov",
year = "2020",
month = sep,
doi = "10.1088/1361-6544/ab9243",
language = "Английский",
volume = "33",
pages = "4924--4939",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing Ltd.",
number = "9",

}

RIS

TY - JOUR

T1 - Discretization and superintegrability all rolled into one

AU - Tsiganov, A.

PY - 2020/9

Y1 - 2020/9

N2 - Abelian integrals appear in mathematical descriptions of various physical processes. According to Abel's theorem these integrals are related to motion of a set of points along a plane curve around fixed points, which are rarely used in physical applications. We propose to interpret coordinates of the fixed points either as parameters of exact discretization or as additional first integrals for equations of motion reduced to Abelian quadratures on a symmetric product of algebraic curve.

AB - Abelian integrals appear in mathematical descriptions of various physical processes. According to Abel's theorem these integrals are related to motion of a set of points along a plane curve around fixed points, which are rarely used in physical applications. We propose to interpret coordinates of the fixed points either as parameters of exact discretization or as additional first integrals for equations of motion reduced to Abelian quadratures on a symmetric product of algebraic curve.

KW - Abel theorem

KW - exact discretization

KW - superintegrable systems

KW - BACKLUND-TRANSFORMATIONS

KW - SYSTEMS

UR - http://www.scopus.com/inward/record.url?scp=85094974125&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/37656255-3f51-3659-99b2-81565b47d047/

U2 - 10.1088/1361-6544/ab9243

DO - 10.1088/1361-6544/ab9243

M3 - статья

VL - 33

SP - 4924

EP - 4939

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

IS - 9

ER -

ID: 61939395