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- W4295196113 abstract "We 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." @default.
- W4295196113 created "2022-09-12" @default.
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- W4295196113 date "2007-05-08" @default.
- W4295196113 modified "2023-09-25" @default.
- W4295196113 title "Spectral stability of periodic NLS and CGL solutions" @default.
- W4295196113 doi "https://doi.org/10.48550/arxiv.0705.1164" @default.
- W4295196113 hasPublicationYear "2007" @default.
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