Symmetry Properties of Autonomous Integrating Factors
We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209336 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Symmetry Properties of Autonomous Integrating Factors / S. Moyo, P.G.L. Leach // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862535302859456512 |
|---|---|
| author | Moyo, S. Leach, P.G.L. |
| author_facet | Moyo, S. Leach, P.G.L. |
| citation_txt | Symmetry Properties of Autonomous Integrating Factors / S. Moyo, P.G.L. Leach // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is noted. The general pattern for the solution symmetries for equations in the simplest form of maximal order is given, and the properties of the associated integrals resulting from this analysis are given.
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| first_indexed | 2025-11-24T09:29:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209336 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T09:29:42Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Moyo, S. Leach, P.G.L. 2025-11-19T12:20:32Z 2005 Symmetry Properties of Autonomous Integrating Factors / S. Moyo, P.G.L. Leach // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 17 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 34A05; 34A30; 34C14; 34C20 https://nasplib.isofts.kiev.ua/handle/123456789/209336 https://doi.org/10.3842/SIGMA.2005.024 We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is noted. The general pattern for the solution symmetries for equations in the simplest form of maximal order is given, and the properties of the associated integrals resulting from this analysis are given. SM thanks the National Research Foundation of South Africa and the Durban Institute of Technology for their support. PGLL thanks the University of KwaZulu-Natal for its continuing support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symmetry Properties of Autonomous Integrating Factors Article published earlier |
| spellingShingle | Symmetry Properties of Autonomous Integrating Factors Moyo, S. Leach, P.G.L. |
| title | Symmetry Properties of Autonomous Integrating Factors |
| title_full | Symmetry Properties of Autonomous Integrating Factors |
| title_fullStr | Symmetry Properties of Autonomous Integrating Factors |
| title_full_unstemmed | Symmetry Properties of Autonomous Integrating Factors |
| title_short | Symmetry Properties of Autonomous Integrating Factors |
| title_sort | symmetry properties of autonomous integrating factors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209336 |
| work_keys_str_mv | AT moyos symmetrypropertiesofautonomousintegratingfactors AT leachpgl symmetrypropertiesofautonomousintegratingfactors |