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Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method. / Romanovskii, Yu R.

в: Mathematical Notes, Том 60, № 1, 1996, стр. 56-67.

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

Harvard

Romanovskii, YR 1996, 'Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method', Mathematical Notes, Том. 60, № 1, стр. 56-67. https://doi.org/10.1007/BF02308880

APA

Romanovskii, Y. R. (1996). Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method. Mathematical Notes, 60(1), 56-67. https://doi.org/10.1007/BF02308880

Vancouver

Romanovskii YR. Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method. Mathematical Notes. 1996;60(1):56-67. https://doi.org/10.1007/BF02308880

Author

Romanovskii, Yu R. / Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method. в: Mathematical Notes. 1996 ; Том 60, № 1. стр. 56-67.

BibTeX

@article{0b0be0c8f7cf48eeb3b5b4b8dd9580a7,
title = "Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method",
abstract = "The Cartan equivalence method is used to find out if a given equation has a nontrivial Lie group of point symmetries. In particular, we compute invariants that permit one to recognize equations with a three-dimensional symmetry group. An effective method to transform the Lie system (the system of partial differential equations to be satisfied by the infinitesimal point symmetries) into a formally integrable form is given. For equations with a three-dimensional symmetry group, the formally integrable form of the Lie system is found explicitly.",
keywords = "Cartan equivalence method, Group analysis of differential equations, Local symmetries",
author = "Romanovskii, {Yu R.}",
year = "1996",
doi = "10.1007/BF02308880",
language = "English",
volume = "60",
pages = "56--67",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Computation of local symmetries of second-order ordinary differential equations by the cartan equivalence method

AU - Romanovskii, Yu R.

PY - 1996

Y1 - 1996

N2 - The Cartan equivalence method is used to find out if a given equation has a nontrivial Lie group of point symmetries. In particular, we compute invariants that permit one to recognize equations with a three-dimensional symmetry group. An effective method to transform the Lie system (the system of partial differential equations to be satisfied by the infinitesimal point symmetries) into a formally integrable form is given. For equations with a three-dimensional symmetry group, the formally integrable form of the Lie system is found explicitly.

AB - The Cartan equivalence method is used to find out if a given equation has a nontrivial Lie group of point symmetries. In particular, we compute invariants that permit one to recognize equations with a three-dimensional symmetry group. An effective method to transform the Lie system (the system of partial differential equations to be satisfied by the infinitesimal point symmetries) into a formally integrable form is given. For equations with a three-dimensional symmetry group, the formally integrable form of the Lie system is found explicitly.

KW - Cartan equivalence method

KW - Group analysis of differential equations

KW - Local symmetries

UR - http://www.scopus.com/inward/record.url?scp=29244437539&partnerID=8YFLogxK

U2 - 10.1007/BF02308880

DO - 10.1007/BF02308880

M3 - Article

AN - SCOPUS:29244437539

VL - 60

SP - 56

EP - 67

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1

ER -

ID: 87280881