P. Basarab-Horwath

activity

20002021

most citedThe Structure of Lie Algebras and the Classification Problem for Partial Differential Equations

8 citations · 29 across the 5 of their papers we have counts for

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3 papers · 1 filter

nlin.SI2016★ 8 cited

Linearizability for third order evolution equations

P. Basarab-Horwath, F. Güngör

The problem of linearization for third order evolution equations is considered. Criteria for testing equations for linearity are presented. A class of linearizable equations depend…

nlin.SI2010★ 7 cited

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

P. Basarab-Horwath, F. Güngör, V. Lahno

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 s…

nlin.SI2008★ 5 cited

Symmetry classification of third-order nonlinear evolution equations

P. Basarab-Horwath, F. Gungor, V. Lahno

We give a Lie-algebraic classification of third order quasilinear equations which admit non-trivial Lie point symmetries.