Soliton generation in PT-symmetric optical fiber networks
M.E. Akramov, K.K. Sabirov, O.V. Karpova, D.U. Matrasulov S. Usanov
TL;DR
This paper investigates soliton generation in PT-symmetric optical fiber networks modeled by nonlocal nonlinear Schrödinger equations, providing exact formulas in integrable cases and numerical solutions when integrability is broken.
Contribution
It derives exact formulas for soliton numbers in integrable PT-symmetric networks and explores numerical solutions beyond integrability.
Findings
Exact soliton count formulas for integrable cases
Numerical solutions for non-integrable scenarios
Insights into soliton dynamics in PT-symmetric networks
Abstract
We consider the problem of soliton generation in PT-symmetric optical fiber networks, where soliton dynamics is governed by nonlocal nonlinear Schrodinger equation on metric graphs. Exact formulae for the number of generated solitons are derived for the cases, when the problem is integrable. Numerical solutions are obtained for the case, when integrability is broken.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics