6 citations · 14 across the 6 of their papers we have counts for
7 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.
On Some Canonical Classes of Cubic-Quintic Nonlinear Schrödinger Equations
Cihangir Özemir
In this paper we bring into attention variable coefficient cubic-quintic nonlinear Schrödinger equations which admit Lie symmetry algebras of dimension four. Within this family, we…
Lie symmetries of a generalized Kuznetsov-Zabolotskaya-Khoklov equation
F. Gungor, C. Ozemir
We consider a class of generalized Kuznetsov--Zabolotskaya--Khokhlov (gKZK) equations and determine its equivalence group, which is then used to give a complete symmetry classifica…
Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations
C. Özemir, F. Güngör
A Lie-algebraic classification of the variable coefficient cubic-quintic nonlinear Schrödinger equations involving 5 arbitrary functions of space and time is performed under the ac…
Variable coefficient nonlinear Schrödinger equations with four-dimensional symmetry groups and analysis of their solutions
C. Özemir, F. Güngör
Analytical solutions of variable coefficient nonlinear Schrödinger equations having four-dimensional symmetry groups which are in fact the next closest to the integrable ones occur…
Group-invariant Solutions of the 2+1-dimensional Cubic Schrödinger Equation
C. Ozemir, F. Gungor
Lie point symmetries of the 2+1-dimensional cubic Schrödinger equation to obtain new analytic solutions in a systematic manner. We present an analysis of the reduced ODEs, and in p…