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Наносистемы: физика, химия, математика

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A solution of nonlinear Schrödinger equation on metric graphs

https://doi.org/10.17586/2220-8054-2015-6-2-162-172

Аннотация

We treat the Nonlinear Schr¨odinger equation (NLSE) on Metric graph. An approach developed earlier for NLSE on interval [14], is extended for star graph. Dirichlet boundary conditions are imposed at the ends of bonds are imposed, while continuity conditions are chosen at the vertex of graph.

Об авторах

K. Sabirov
National University of Uzbekistan
Узбекистан


A. Khalmukhamedov
Tashkent branch of Moscow State University named after L. V. Lomonosov
Узбекистан


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Рецензия

Для цитирования:


 ,   . Наносистемы: физика, химия, математика. 2015;6(2):162-172. https://doi.org/10.17586/2220-8054-2015-6-2-162-172

For citation:


Sabirov K.K., Khalmukhamedov A.R. A solution of nonlinear Schrödinger equation on metric graphs. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(2):162-172. https://doi.org/10.17586/2220-8054-2015-6-2-162-172

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