A Two-Component Generalization of the Integrable rdDym Equation

Symmetry Integrability and Geometry-Methods and Applications

article

Oleg I. Morozov¹ 

[1] Institute of Mathematics and Statistics, University of Tromsø

关键词: coverings of dif ferential equations;    B¨acklund transformations;   

DOI  :  10.3842/SIGMA.2012.051

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown