Catalano Ferraioli D. Fourth order evolution equations of pseudo-spherical type, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract)

Speaker: Diego Catalano Ferraioli

Title: Fourth order evolution equations of pseudo-spherical type

Abstract:
It will be discussed an explicit classification of pseudo-spherical evolution equations of 4-th order of the form $u_{t}=u_{4}+G(u,u_{1},u_{2},u_{3})$, under suitable assumptions for the 1-forms defining the pseudo-spherical structure. These equations also admit sl(2)-valued zero-curvature representations which depend on some arbitrary parameters.