Resonant scattering of solitons
A. E. Miroshnichenko, S. Flach, and B. Malomed
TL;DR
This paper investigates how solitons scatter off local inhomogeneities in the nonlinear Schrödinger equation, deriving resonance conditions for transmission and reflection, and analyzing effects on coherence and mode interactions.
Contribution
It provides analytical resonance conditions for soliton scattering and tests these predictions through numerical simulations across different regimes.
Findings
Resonance conditions accurately predict soliton transmission and reflection.
Intermode interactions influence coherence and dephasing of solitons.
Numerical results confirm analytical predictions across various time scales.
Abstract
We study the scattering of solitons in the nonlinear Schroedinger equation on local inhomogeneities which may give rise to resonant transmission and reflection. In both cases, we derive resonance conditions for the soliton's velocity. The analytical predictions are tested numerically in regimes characterized by various time scales. Special attention is paid to intermode interactions and their effect on coherence, decoherence and dephasing of plane-wave modes which build up the soliton.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.