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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
MATHEMATICS
Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds
K. K. Sabirovab, M. Aripovc, D. B. Sagdullayevd a Turin Polytechnic University in Tashkent
b Tashkent University of Information Technology, Amir Temur Str. 108, Tashkent, Uzbekistan
c Department of Mathematics, National University of Uzbekistan,
University Str. 1, 100174, Tashkent, Uzbekistan
d Department of High Matnematics, Tashkent State University of Economy, Uzbekistan Str., 49, 100003, Tashkent, Uzbekistan
Аннотация:
We consider the stationary (cubic) nonlinear Schrödinger equation (NLSE) on a simple metric graph in the form of a triangle with three infinite outgoing bonds. Exact solutions are obtained for primary star graph with the boundary vertex conditions providing the wave function weights continuity and flux conservation for the case of repulsive nonlinearity.
Ключевые слова:
Nonlinear Schrödinger equation, a metric graph, repulsive nonlinearity.
Поступила в редакцию: 10.07.2016 Исправленный вариант: 25.08.2016
Образец цитирования:
K. K. Sabirov, M. Aripov, D. B. Sagdullayev, “Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds”, Наносистемы: физика, химия, математика, 8:1 (2017), 24–28
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nano4 https://www.mathnet.ru/rus/nano/v8/i1/p24
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Страница аннотации: | 73 | PDF полного текста: | 43 |
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