This article is cited in 16 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.

MSC: 35A30; 58H05; 58J70

Received: May 26, 2012; in final form August 9, 2012; Published online August 11, 2012

Language: English

DOI: 10.3842/SIGMA.2012.051

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ArXiv: 1205.1149