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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 051, 5 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.051 (Mi sigma728) 		 
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
Full-text PDF (251 kB) Citations (15)
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DOI: https://doi.org/10.3842/SIGMA.2012.051
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
Bibliographic databases:
Document Type: Article
MSC: 35A30; 58H05; 58J70
Language: English
Citation: Oleg I. Morozov, “A two-component generalization of the integrable rdDym equation”, SIGMA, 8 (2012), 051, 5 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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