Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the gener...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2005 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209354 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 46 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862747567359524864 |
|---|---|
| author | Morozov, O.I. |
| author_facet | Morozov, O.I. |
| citation_txt | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 46 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the generalized Hunter-Saxton equation and the Euler-Poisson equation.
|
| first_indexed | 2025-12-07T20:51:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209354 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:51:44Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Morozov, O.I. 2025-11-19T12:30:02Z 2005 Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 46 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58H05; 58J70; 35A30 https://nasplib.isofts.kiev.ua/handle/123456789/209354 https://doi.org/10.3842/SIGMA.2005.006 In this review article, we discuss four recent methods for computing Maurer-Cartan structure equations of symmetry groups of differential equations. Examples include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the generalized Hunter-Saxton equation and the Euler-Poisson equation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches Article published earlier |
| spellingShingle | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches Morozov, O.I. |
| title | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches |
| title_full | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches |
| title_fullStr | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches |
| title_full_unstemmed | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches |
| title_short | Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches |
| title_sort | structure of symmetry groups via cartan's method: survey of four approaches |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209354 |
| work_keys_str_mv | AT morozovoi structureofsymmetrygroupsviacartansmethodsurveyoffourapproaches |