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nlin.SI2026
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…
nlin.SI2021
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…
nlin.SI2020
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…