With the support provided by a HIZDEP1 project he carried on, Dr. Özemir visited the Applied Mathematics Department of Granada, Spain, in July 2024. During this visit, he gave a talk on the applications of Lie groups to the study of nonlinear partial differential equations and started a new collaboration with his host, Prof. Dr. Pedro Torres, for analyzing wave propagation in a fluid of variable depth.

Assoc. Prof. Dr. Cihangir Özemir made a four-week research visit to the University of Granada, Spain, in July 2024, with the support provided by his HIZDEP1 project within the Scientific Research Projects Department of Istanbul Technical University, THD-2024-45388. HIZDEP1 projects are open to researchers who received the ITU Academic Performance Award and also published an article within %1 percentile with respect to SCOPUS rankings. Dr. Özemir was granted with this project with the article “Lie Symmetries and Traveling Wave Solutions of the 3D Benney–Roskes/Zakharov–Rubenchik System”, which appeared in Chaos, Solitons & Fractals, presenting the outcomes of his co-author and graduate student Res. Assistant Şeyma Gönül’s M.Sc. thesis.

The supporting project carries the title “Symmetries in (2+1)-Dimensional Generalized Davey-Stewartson system” and aims at exploring group-theoretical and analytical properties of a partial differential equation model which is derived in both fluid and solid mechanics. Dr. Özemir was invited to the Applied Mathematics Department of the University of Granada by Prof. Dr. Pedro Torres. During this visit, as the closing weekly seminar of the Department, Dr. Özemir gave a talk entitled “Lie Symmetries and Exact Solutions of Some Nonlinear PDEs” which outlined the use of Lie symmetries for the analysis of PDEs and presented open problems in the context of the current project.

Besides exchanging ideas on several problems, Dr. Özemir and Dr. Torres began working on a new problem on a PDE for wave propagation in a fluid of variable depth. As a continuation of this collaboration, Prof. Torres plans a visit to the Mathematics Department of ITU as part of his short sabbatical in 2025.

https://www.ugr.es/~sed/