Resonant scattering of solitons

A. E. Miroshnichenko; S. Flach; B. Malomed

doi:10.1063/1.1597071

Resonant scattering of solitons

A. E. Miroshnichenko^*, S. Flach, B. Malomed

^*Corresponding author for this work

Engineering General

Max-Planck-Institute for the Physics of Complex Systems

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We study the scattering of solitons in the nonlinear Schrödinger 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.

Original language	English
Pages (from-to)	874-879
Number of pages	6
Journal	Chaos
Volume	13
Issue number	3
DOIs	https://doi.org/10.1063/1.1597071
State	Published - Sep 2003

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title = "Resonant scattering of solitons",

abstract = "We study the scattering of solitons in the nonlinear Schr{\"o}dinger 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.",

author = "Miroshnichenko, \{A. E.\} and S. Flach and B. Malomed",

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AU - Miroshnichenko, A. E.

AU - Flach, S.

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N2 - We study the scattering of solitons in the nonlinear Schrödinger 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.

AB - We study the scattering of solitons in the nonlinear Schrödinger 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.

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Resonant scattering of solitons

Abstract

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