8 citations · 15 across the 5 of their papers we have counts for
12 papers
Notes on Lie symmetry group methods for differential equations
F. Güngör
Fundamentals on Lie group methods and applications to differential equations are surveyed. Many examples are included to elucidate their extensive applicability for analytically so…
Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of EP Lie algebra
José F. Cariñena, Faruk Güngör, Pedro J. Torres
Using the only admissible rank-two realisations of the Lie algebra of the affine group in one dimension in terms of the Lie algebra of Lie symmetries of the Ermakov-Pinney (EP) equ…
Lie point symmetry analysis of a second order differential equation with singularity
F. Güngör, P. J. Torres
By using Lie symmetry methods, we identify a class of second order nonlinear ordinary differential equations invariant under at least one dimensional subgroup of the symmetry group…
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…
Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra
F. Güngör, C. Özemir
We study the symmetry group properties of the variable coefficient Davey-Stewartson (vcDS) system. The Lie point symmetry algebra with a Kac-Moody-Virasoro (KMV) structure is shown…
Heisenberg-type higher order symmetries of superintegrable systems separable in cartesian coordinates
F. Gungor, S Kuru, J. Negro +1
Heisenberg-type higher order symmetries are studied for both classical and quantum mechanical systems separable in cartesian coordinates. A few particular cases of this type of sup…