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A Two-Component Generalization of the Integrable rdDym Equation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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A Two-Component Generalization of the Integrable rdDym Equation
Інший ID:
2010 Mathematics Subject Classification: 35A30; 58H05; 58J70
DOI: http://dx.doi.org/10.3842/SIGMA.2012.051
DOI: http://dx.doi.org/10.3842/SIGMA.2012.051
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
700
Завантажень:
289
Анотація:
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.
