A Two-Component Generalization of the Integrable rdDym Equation
We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we find a Bäcklund transformation between our generalization and Bodganov's...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148387 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A Two-Component Generalization of the Integrable rdDym Equation / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 26 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862649518548320256 |
|---|---|
| author | Morozov, O.I. |
| author_facet | Morozov, O.I. |
| citation_txt | A Two-Component Generalization of the Integrable rdDym Equation / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we find a Bäcklund transformation between our generalization and Bodganov's two-component generalization of the universal hierarchy equation.
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| first_indexed | 2025-12-01T15:27:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148387 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T15:27:25Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Morozov, O.I. 2019-02-18T11:20:58Z 2019-02-18T11:20:58Z 2012 A Two-Component Generalization of the Integrable rdDym Equation / O.I. Morozov // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35A30; 58H05; 58J70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.051 https://nasplib.isofts.kiev.ua/handle/123456789/148387 We find a two-component generalization of the integrable case of rdDym equation. The reductions of this system include the general rdDym equation, the Boyer-Finley equation, and the deformed Boyer-Finley equation. Also we find a Bäcklund transformation between our generalization and Bodganov's two-component generalization of the universal hierarchy equation. This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
 I am very grateful to M.V. Pavlov and A.G. Sergyeyev for the valuable discussions. Also I’d like to thank M. Marvan and A.G. Sergyeyev for the warm hospitality in Mathematical Institute, Silezian University at Opava, Czech Republic, where this work was initiated and partially supported by the ESF project CZ.1.07/2.3.00/20.0002. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Two-Component Generalization of the Integrable rdDym Equation Article published earlier |
| spellingShingle | A Two-Component Generalization of the Integrable rdDym Equation Morozov, O.I. |
| title | A Two-Component Generalization of the Integrable rdDym Equation |
| title_full | A Two-Component Generalization of the Integrable rdDym Equation |
| title_fullStr | A Two-Component Generalization of the Integrable rdDym Equation |
| title_full_unstemmed | A Two-Component Generalization of the Integrable rdDym Equation |
| title_short | A Two-Component Generalization of the Integrable rdDym Equation |
| title_sort | two-component generalization of the integrable rddym equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148387 |
| work_keys_str_mv | AT morozovoi atwocomponentgeneralizationoftheintegrablerddymequation AT morozovoi twocomponentgeneralizationoftheintegrablerddymequation |