Resonant scattering of solitons

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.

arXiv comment7 pages, 6 figures

References in corpus (5)

• Resonance Lineshapes in Quasi-One-Dimensional Scattering
• Fano resonances with discrete breathers
• Moving discrete breathers in a Klein--Gordon chain with an impurity
• Wave transmission, phonon localization and heat conduction of 1D Frenkel-Kontorova chain
• Wave scattering by discrete breathers

Cited by in corpus (19)

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• Nonlinear Fano resonance and bistable wave transmission
• Enhanced Quantum Reflection of Matter-Wave Solitons
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• Fano blockade by a Bose-Einstein condensate in an optical lattice
• Scattering of topological solitons on holes and barriers
• Localized modes and bistable scattering in nonlinear network junctions
• Resonant scattering of matter wave gap-solitons by optical lattice defects
• Soliton Propagation in Chains with Simple Nonlocal Defects
• Directional flow of solitons with asymmetric potential wells: Soliton diode
• Interaction of discrete nonlinear Schrödinger solitons with a linear lattice impurity
• Resonant plasmon scattering by discrete breathers in Josephson junction ladders
• Propagation of Discrete Solitons in Inhomogeneous Networks
• Topological Filters for Solitons in Coupled Waveguides Networks
• Fano resonance in quadratic waveguide arrays
• Unidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wells
• High-speed soliton ejection generated from the scattering of bright solitons by modulated reflectionless potential wells
• Quantum Transport in Ladder-Type Networks: Role of nonlinearity, topology and spin
• Power dependent switching of nonlinear trapping by local photonic potentials