Uecker Hannes, Grieser Daniel, Sobirov Zarif, Babajanov Doniyor, Matrasulov Davron
Institut für Mathematik, Universität Oldenburg, 26111 Oldenburg, Germany.
Tashkent Financial Institute, 60A, Amir Temur Str., 100000, Tashkent, Uzbekistan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):023209. doi: 10.1103/PhysRevE.91.023209. Epub 2015 Feb 20.
Soliton transport in tubelike networks is studied by solving the nonlinear Schrödinger 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.
