Reduction of a bidimensional sine-Gordon system to the sixth Painlevé equation
Presented by Mr. Robert CONTE on 23 Jun 2023 from 15:00 to 15:30
Session: Continuous integrable systems
We establish all the reductions of a system of two coupled sine-Gordon equations introduced by Konopelchenko and Rogers to ordinary differential equations. All these reductions are degeneracies of a master equation of Chazy, "curious for its elegance", algebraic transform of the sixth Painlevé equation.