Soliton transport in tubular networks: transmission at vertices in the shrinking limit

Abstract

Soliton transport in tube-like networks is studied by solving the nonlinear Schroedinger equation (NLSE) on finite thickness ("fat") graphs. The dependence of the solution and of the reflection at vertices on the graph thickness and on the angle between its bonds is studied and related to a special case considered in our previous work, in the limit when the thickness of the graph goes to zero. It is found that both the wave function and reflection coefficient reproduce the regime of reflectionless vertex transmission studied in our previous work.

9 pages, 8 figures

References in corpus (3)

• Fast solitons on star graphs
• Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides
• Convergence of resonances on thin branched quantum wave guides

Cited by in corpus (6)

• Standing waves on quantum graphs
• Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
• Stationary waves on nonlinear quantum graphs II: Application of canonical perturbation theory in basic graph structures
• Fokker-Planck equation on metric graphs
• Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks
• Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks