A Two-Component Generalization of the Integrable rdDym Equation
Mathematical Physics
2012-08-14 v4 math.MP
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 B\"acklund transformation between our generalization and Bodganov's two-component generalization of the universal hierarchy equation.
Keywords
Cite
@article{arxiv.1205.1149,
title = {A Two-Component Generalization of the Integrable rdDym Equation},
author = {Oleg I. Morozov},
journal= {arXiv preprint arXiv:1205.1149},
year = {2012}
}