Peter Basarab-Horwath (Linkoping University, Linkoping, Sweden)

Symmetry classification of non-linear evolution equations

We give a survey of our results on classifying third-order evolution equations in (1+1)-time-space. Our key tool is the concept of equivalence group of an equation. In this way we obtain a classification of evolution equations according to their admitted point symmetries. We also give an account of some of the techniques involved in the classification scheme.