Instability of optical solitons in the boundary value problem for a medium of finite extension
type: Item
instance of: scholarly article
title: Instability of optical solitons in the boundary value problem for a medium of finite extension
zbMATH Open document ID: 1238.37026
author: Victor V. Kozlov
author: Stefan Wabnitz
published in: Letters in Mathematical Physics
publication date: 2011-05-27T00:00:00Z
full work available at URL: http://hdl.handle.net/11379/44901
review text: The paper under review considers an integrable nonlinear wave system (anisotropic chiral field model), which exhibits a soliton solution to the Cauchy problem for an infinitely long medium. Whenever the boundary value problem is formulated for the same system but for a medium of finite extension, the authors reveal that the soliton becomes unstable and the true attractor is of a different structure. By demonstrating the qualitative difference between nonlinear wave propagation in an infinite medium and in a medium of finite extension, they also point out that solitons may loose their property of being stable attractors.
reviewed by: Dafeng Zuo
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 5900544
zbMATH Keywords: soliton
zbMATH Keywords: attractors
zbMATH Keywords: chiral model
zbMATH Keywords: nonlinear optics
zbMATH Keywords: boundary-value problem
MaRDI profile type: Publication
OpenAlex ID: W2018040465
cites work: Integrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations 1
DOI: 10.1007/S11005-010-0431-3
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description: scientific article; zbMATH DE number 5900544