Symmetry classification of third - order nonlinear evolution equations. Part I: semi - simple algebras
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KünyeBASARAB - HORWATH, P., GÜNGÖR, F., LAHNO, V. (2013). Symmetry classification of third - order nonlinear evolution equations. Part I: semi - simple algebras. Acta Applicandae Mathematicae, 124 (1), pp. 123-170. http://dx.doi.org/10.1007/s10440-012-9773-4.
We give a complete point-symmetry classification of all third-order evolution equations of the form u (t) =F(t,x,u,u (x) ,u (xx) )u (xxx) +G(t,x,u,u (x) ,u (xx) ) 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.
KaynakActa Applicandae Mathematicae
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