8 citations · 47 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Symmetries of the pseudo-diffusion equation, and its unconventional 2-sided kernel
Jamil Daboul, Faruk Gungor, Dongsheng Liu +1
We determine by two related methods the invariance algebra $\g$ of the \emph{`pseudo-diffusion equation'} (PSDE) $$ L~Q \equiv \left[\frac {\partial}{\partial t} -\frac 1 4 \left(\…
Equivalence and Symmetries for Linear Parabolic Equations and Applications Revisited
F. Gungor
A systematic and unified approach to transformations and symmetries of general second order linear parabolic partial differential equations is presented. Equivalence group is used…