Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102770
Title: Autoresonant excitation of dark solitons
Authors: Borich, M. A.
Shagalov, A. G.
Friedland, L.
Issue Date: 2015
Publisher: American Physical Society
Citation: Borich M. A. Autoresonant excitation of dark solitons / M. A. Borich, A. G. Shagalov, L. Friedland. — DOI 10.1103/PhysRevE.91.012913 // Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. — 2015. — Vol. 91. — Iss. 1. — 012913.
Abstract: Continuouslyphase-locked (autoresonant) dark solitons of the defocusing nonlinear Schrodinger equation are excited and controlled by driving the system by a slowly chirped wavelike perturbation. The theory of these excitations is developed using Whitham's averaged variational principle and compared with numerical simulations. The problem of the threshold for transition to autoresonance in the driven system is studied in detail, focusing on the regime when the weakly nonlinear frequency shift in the problem differs from the typical quadratic dependence on the wave amplitude. The numerical simulations in this regime show a deviation of the autoresonance threshold on the driving amplitude from the usual 3/4 power dependence on the driving frequency chirp rate. The theory of this effect is suggested. © 2015 American Physical Society.
Keywords: CONTROL NONLINEARITIES
NONLINEAR EQUATIONS
NUMERICAL MODELS
PERTURBATION TECHNIQUES
SCHRODINGER EQUATION
VARIATIONAL TECHNIQUES
AUTORESONANT EXCITATION
DRIVING FREQUENCIES
POWER DEPENDENCE
QUADRATIC DEPENDENCE
VARIATIONAL PRINCIPLES
WAVE AMPLITUDES
WAVELIKE PERTURBATIONS
WEAKLY NON-LINEAR
SOLITONS
URI: http://hdl.handle.net/10995/102770
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 84921728368
PURE ID: 373403
733cc0c9-c4b0-4760-abb4-9c104acece76
ISSN: 15393755
DOI: 10.1103/PhysRevE.91.012913
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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