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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Дата:2012
Автор: Morozov, O.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2012
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/148387
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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spelling irk-123456789-1483872019-02-19T01:24:45Z A Two-Component Generalization of the Integrable rdDym Equation Morozov, O.I. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148387 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Morozov, O.I.
spellingShingle Morozov, O.I.
A Two-Component Generalization of the Integrable rdDym Equation
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Morozov, O.I.
author_sort Morozov, O.I.
title A Two-Component Generalization of the Integrable rdDym Equation
title_short 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_sort two-component generalization of the integrable rddym equation
publisher Інститут математики НАН України
publishDate 2012
url http://dspace.nbuv.gov.ua/handle/123456789/148387
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.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT morozovoi atwocomponentgeneralizationoftheintegrablerddymequation
AT morozovoi twocomponentgeneralizationoftheintegrablerddymequation
first_indexed 2023-05-20T17:30:37Z
last_indexed 2023-05-20T17:30:37Z
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