Symmetry in Nonlinear Mathematical Physics - 2009

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

Classification of partial differential equations: a survey of some results

We give an account of aspects point-symmetry classification of quasi-linear evolution equations in 1+1 dimensions. This type of classification is based on the use of the equivalence group (given in finite form) together with the Lie algorithm for testing admissibility of given Lie algebras as symmetry algebras of evolution equations (of a given order).