Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras

الأصل · EN

We give a complete point-symmetry classification of all third-order evolution equations of the form uₜ=F(t,x,u,uₓ, uxx)uxxx+G(t,x,u,uₓ, uxx) which admit semi-simple symmetry algebras and extensions of these semi-simple Lie algebras by solvable Lie algebras. The methods we employ are extensions and refinements of previous techniques which have been used in such classifications.