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A solution of nonlinear Schrodinger equation ¨ on metric graphs

Аннотация:

We treat the Nonlinear Schrodinger 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. 

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