6 citations · 14 across the 6 of their papers we have counts for
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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…