1 citations · 1 across the 6 of their papers we have counts for
6 papers
Analysis of Lie symmetries and traveling wave solutions for the (2+1)-dimensional Boussinesq equation with general nonlinearity
Şeyma Gönül, Cihangir Özemir
In this study, we investigate Lie symmetries of the (2+1)-dimensional Boussinesq equation, which has been proposed to model the propagation of gravity waves on the water surface, w…
Delayed Keen Model with Inflation
Ali Tolga Dincer, Sevgi Harman, Seyma Gonul +2
Keen's model describes the dynamics between wage share, employment rate and debt ratio. In literature, the model was extended to represent the effects of inflation and also the spe…
Hopf Bifurcation in a Generalized Goodwin Model with Delay
Eysan Sans, Melisa Akdemir, Ayse Tiryakioglu +2
Goodwin's model is a cornerstone in the study of dynamical systems within macroeconomics, explaining the interaction between employment ratio and wage share in a closed economy. An…
Benney-Roskes/Zakharov-Rubenchik System: Lie Symmetries and Exact Solutions
Şeyma Gönül, Cihangir Özemir
We investigate Lie symmetry algebra of the Benney-Roskes/Zakharov-Rubenchik systems. The invariance algebra turns out to be infinite-dimensional. We also find several exact solutio…
Group Classification of a Higher-Order Boussinesq Equation
Yasin Hasanoğlu, Cihangir Özemir
We consider a family of higher-order Boussinesq equations with an arbitrary nonlinearity. We determine the classes of equations so that a certain type of Lie symmetry algebra is ad…
Nonlinear Opinion Dynamics in Systems with Leadership Effect
F. Ataş, A. Demirci, C. Özemir
Opinion dynamics of a group of individuals is the change in the members' opinions through mutual interaction with each other. The related literature contains works in which the dyn…