Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
arXiv:2111.03271 · doi:10.1103/PhysRevE.105.054205
Abstract
We consider PT-symmetric, nonlocal nonlinear Schrodinger equation on metric graphs. Vertex boundary conditions are derived from the conservation laws. Soliton solutions are obtained for simplest graph topologies, such as star and tree graphs. Integrability of the problem is shown by proving existence of infinite number of conservation laws.
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