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This article is cited in 15 scientific papers (total in 15 papers)
A two-component generalization of the integrable rdDym equation
Oleg I. Morozov Institute of Mathematics and Statistics, University of Tromsø, Tromsø 90-37, Norway
Abstract:
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.
Keywords:
coverings of differential equations, Bäcklund transformations.
Received: May 26, 2012; in final form August 9, 2012; Published online August 11, 2012
Citation:
Oleg I. Morozov, “A two-component generalization of the integrable rdDym equation”, SIGMA, 8 (2012), 051, 5 pp.
Linking options:
https://www.mathnet.ru/eng/sigma728 https://www.mathnet.ru/eng/sigma/v8/p51
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Abstract page: | 239 | Full-text PDF : | 53 | References: | 39 |
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