Spectral stability of periodic NLS and CGL solutions

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dc.creatorIvey, Thomas
dc.creatorLafortune, Stephane
dc.date2007-05-08
dc.date.accessioned2026-07-07T08:00:13Z
dc.date.available2026-07-07T08:00:13Z
dc.descriptionWe consider periodic traveling wave solutions to the focusing nonlinear Schrodinger equation (NLS) that have been shown to persist when the NLS is perturbed to the complex Ginzburg-Landau equation (CGL). In particular, we show that these periodic traveling waves are spectrally stable solutions of NLS with respect to periodic perturbations. Furthermore, we use an argument based on the Fredholm alternative to find an instability criterion for the persisting solutions to CGL.
dc.description26 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/0705.1164
dc.identifierhttp://arxiv.org/abs/0705.1164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128622
dc.subjectExactly Solvable and Integrable Systems
dc.titleSpectral stability of periodic NLS and CGL solutions
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