8 citations · 47 across the 17 of their papers we have counts for
18 papers
Noether symmetries and conservation laws of a class of time-dependent multidimensional nonlinear wave equations
F. Güngör, C. Özemir
Conservation laws of a class of time-dependent damped nonlinear multidimensional wave equations are derived by Noether's theorem. For arbitrary nonzero damping coefficient and nonl…
Comment on "An optimal system, invariant solutions, conservation laws, and complete classification of Lie group symmetries for a generalized (2+1)-dim. Davey-Stewartson system of equations for the wave propagation in water of finite depth"
Cihangir Özemir, Faruk Güngör
In this comment we report that a recent paper [Eur. Phys. J. Plus 138, 195 (2023)] contains significant errors, omissions and inaccuracies.
A general class of invariant diffusion processes in one dimension
F. Güngör
This paper improves a previously established test involving only coefficients to decide a priori whether or not non-trivial symmetries of a large class of space-time dependent diff…
Symmetry classification of third-order nonlinear evolution equations. Part II: Solvable algebras
P. Basarab-Horwath, F. Güngör
We give a classification of all third-order nonlinear evolution equations which admit solvable Lie symmetry algebras and which are not linearized. We have found that t…
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.
Calculation of the propagator of Schrödinger's equation on with the potential by Lie symmetry group method
F. Güngör
The propagators (fundamental solutions) of the heat and Schrödinger's equations on the half-line with a combined harmonic oscillator and inverse-square potential calculated in the…