Published January 1, 2013
| Version v1
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Symmetry Classification of Third-Order Nonlinear Evolution Equations. Part I: Semi-simple Algebras
Creators
- 1. Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
- 2. Dogus Univ, Dept Math, Fac Arts & Sci, TR-34722 Istanbul, Turkey
- 3. Pedag Univ, Dept Math, UA-36000 Poltava, Ukraine
Description
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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