Soliton resonances in atomic nonlinear systems
type: Item
instance of: scholarly article
title: Soliton resonances in atomic nonlinear systems
zbMATH Open document ID: 0612.58056
DOI: 10.1016/0167-2789(87)90231-4
author: N. Flytzanis
author: Stephanos Pnevmatikos
author: Michel Remoissenet
published in: Physica D
publication date: 1987-01-01T00:00:00Z
review text: For competitive first and second neighbor interactions in a monatomic chain there are subsonic solitons which are unstable at low velocities and resonantly split in two stable solitons with high velocities. The process is consistent with the conservation laws, which are exactly satisfied by the splitting process. There are also divergent instabilities. The effect of the second neighbor nonlinear interactions on the threshold velocities for resonant or divergent instabilities is studied. The collision of two solitons near resonance shows large phase shifts but due to the existence of a linear instability mode the solitons separate eventually. The effect of the form of the interatomic law is also discussed.
Mathematics Subject Classification ID: 58J99
zbMATH DE Number: 3990476
zbMATH Keywords: subsonic solitons
zbMATH Keywords: stable solitons
zbMATH Keywords: conservation laws
zbMATH Keywords: divergent instabilities
MaRDI profile type: Publication
full work available at URL: 0167-2789(87)90231-4
OpenAlex ID: W2085173826
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description: scientific article; zbMATH DE number 3990476