Group classification of nonlinear evolution equations. I: Invariance under semisimple local transformation groups
The reviewed article is devoted to the problem of group classification of nonlinear equations of the form \[ u_t=F(t,x,u,u_x)u_{xx}+G(t,x,u,u_x) \tag{1} \] The authors give the bibliography containing the group classification of various partial cases of this equation. The main purpose of their investigation: classify nonlinear equations of the form (1) whose invariance groups are semisimple Lie group or contain them as subgroups.
scientific article; zbMATH DE number 1916049