Phase-pulling and breather instability in an AC-driven damped one- dimensional sine-Gordon system
type: Item
instance of: scholarly article
title: Phase-pulling and breather instability in an AC-driven damped one- dimensional sine-Gordon system
zbMATH Open document ID: 0623.58041
DOI: 10.1016/0167-2789(87)90032-7
author: B. George
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: An AC-driven damped sine-Gordon system, in the nonlinear Schrödinger regime, may converge into various nontrivial space-time attractors. One of them is breather riding on top of flat profile, both locked to the driver frequency. Using collective-coordinate ansatz for this attractor, and a multiple-scale perturbation technique, we study the location and nature of its instability. Among the various characteristics, this study includes understanding the role of the breather-background coupling, the structure of the associated unstable modes, the scaling structure of the instability boundary, etc. Most strikingly we find the instability mechanism and the above features to be strongly sensitive to the asymptotic phase-difference between the spatially localized breather and the spatially extended uniform background. We call this phenomenon ``phase-pulling''.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 34K99
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 4011502
zbMATH Keywords: sine-Gordon system
zbMATH Keywords: nonlinear Schrödinger regime
zbMATH Keywords: space-time attractors
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90032-7
OpenAlex ID: W1964781847
cites work: Q3741588
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cites work: Modulational Stability of Ground States of Nonlinear Schrödinger Equations
description: scientific article; zbMATH DE number 4011502