The method of the unified Fokas transformation for wave equations on metric graphs. The method of the unified Fokas transformation for wave equations on metric graphs.
Main publications:
Gulmirza Khudayberganov, Zarifboy A Sobirov, Mardonbek R Eshimbetov, “Unified Transform method for the Schr¨ odinger Equation on a Simple Metric Graph”, Integral-representation of solutions of the initial-boundary value problems for the Schr¨odinger equation on simple metric graphs was obtained with the use of the Fokas method. This method uses special gen- eralization of the Fourier transform that is referred to as the unified transform. Obtained representation of solutions of the problem for open and closed simple star graphs allows one to identify transmitted, reflected and trapped waves at the graph branching point, Сибирский федеральный университет. Siberian Federal University, 12:4 (2019), 412-420
