Sinh-Gordon equation, Painlevé property and Bäcklund transformation
The Painlevé property for partial differential equation proposed by Weiss et al. is studied for the sinh-Gordon equation. We performed a singular point analysis to show that the Painlevé property is a valuable analytical test for integrability and we found in a remarkably straightforward manner the Bäcklund transformation of the sinh-Gordon equation.
scientific article; zbMATH DE number 4065551
scientific article