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Symmetry Classification of Third-Order Nonlinear Evolution Equations. Part I: Semi-simple Algebras |
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| Authors: | P Basarab-Horwath F Güngör V Lahno |
| Institution: | 1. Department of Mathematics, Link?ping University, 581 83, Link?ping, Sweden 2. Department of Mathematics, Faculty of Arts and Sciences, Do?u? University, 34722, Istanbul, Turkey 3. Department of Mathematics, Pedagogical University, 2 Ostrohradskyj Street, 36000, Poltava, Ukraine |
| Abstract: | 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. |
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