Статья

Transparent nonlinear networks

Jambul YusupovTurin Polytechnic University in Tashkent, 17 Niyazov Street, 100095 Tashkent, UzbekistanK.K. SabirovTashkent University of Information Technologies, 108 Amir Temur Street, 100200 Tashkent, UzbekistanMatthias EhrhardtBergische Universität Wuppertal, Gaußstrasse 20, D-42119 Wuppertal, GermanyD. U. MatrasulovCenter for Nanotechnologies, National University of Uzbekistan, Vuzgorodok, 100174 Tashkent, Uzbekistan

Physical review. Ejournal2019en

ABI

Аннотация

We consider the reflectionless transport of solitons in networks. The system is modeled in terms of the nonlinear Schrödinger equation on metric graphs, for which transparent boundary conditions at the branching points are imposed. This approach allows to derive simple constraints, which link the equivalent usual Kirchhoff-type vertex conditions to the transparent ones. Our method is applied to a metric star graph. An extension to more complicated graph topologies is straightforward.

Темы

Nonlinear Photonic Systems Quantum optics and atomic interactions Nonlinear Dynamics and Pattern Formation

Идентификаторы

DOI: 10.1103/physreve.100.032204

Цитирования и источники

Цитирований: 16 Использованных источников: 47

Показатели — AkademScholar · Скоро