Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (4)
- Authors
- Khudayberganov, Gulmirza; Sobirov, Zarifboy A.; Eshimbetov, Mardonbek R.
- Contact information
- Khudayberganov, Gulmirza: National University of Uzbekistan Universitet Str. 4, Tashkent, 100174 Uzbekistan; gkhudaiberg@mail.ru; Sobirov, Zarifboy A.: National University of Uzbekistan Universitet Str. 4, Tashkent, 100174 Uzbekistan; sobirovzar@gmail.com; Eshimbetov, Mardonbek R.: National University of Uzbekistan Universitet Str. 4, Tashkent, 100174 Uzbekistan; mr.eshimbetov92@mail.ru
- Keywords
- Schr¨odinger equation; metric graph; branched structure; unified transform; initial problem; Fourier transform; boundary value problem
- Abstract
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
- Pages
- 412–420
- DOI
- 10.17516/1997-1397-2019-12-4-412-420
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/111808
Journal of Siberian Federal University. Mathematics & Physics / Unified Transform method for the Schr¨odinger Equation on a Simple Metric Graph
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