A Two-Component Generalization of the Integrable rdDym Equation
classification
🧮 math-ph
math.MP
keywords
equationgeneralizationrddymtwo-componentboyer-finleyfindintegrableacklund
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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.
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