The article titled “Lie Symmetries and traveling wave solutions of the 3D Benney–Roskes/Zakharov–Rubenchik system” based on the studies conducted by ITU Department of Mathematics Engineering Members Assoc. Prof. Dr. Cihangir Özemir and Res. Assis. Şeyma Gönül was published in the journal Chaos, Solitons & Fractals.
In this research, they analyzed the Lie symmetry algebra of the (3+1)-dimensional Benney Roskes/Zakharov-Rubenchik system which is derived in the context of water and sound waves. The invariance algebra of the system of PDEs turned out to be infinite-dimensional. Concentrating on traveling solutions, they found wave components of sech-tanh type, which proceed as line solitons and kinks in two-dimensional cross-sections in space. With this article, they have added original results to the literature on group-theoretical properties and exact solutions of the Benney-Roskes/Zakharov-Rubenchik system.