8 citations · 29 across the 5 of their papers we have counts for
6 papers
Lie symmetry structure of nonlinear wave equations in -dimensional space-time
P. Basarab-Horwath, F. Güngör, C. Özemir
We study Lie point symmetry structure of generalized nonlinear wave equations in the -dimensional space-time.
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…
Algebraic method for group classification of (1+1)-dimensional linear Schrödinger equations
Célestin Kurujyibwami, Peter Basarab-Horwath, Roman O. Popovych
We carry out the complete group classification of the class of (1+1)-dimensional linear Schrödinger equations with complex-valued potentials. After introducing the notion of unifor…
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 which admit semi-simple s…
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.
The Structure of Lie Algebras and the Classification Problem for Partial Differential Equations
P. Basarab-Horwath, V. Lahno, R. Zhdanov
The present paper solves completely the problem of the group classification of nonlinear heat-conductivity equations of the form\ . We…