Spectra of Linearized Operators for NLS Solitary Waves

Details Spectra of Linearized Operators for NLS Solitary Waves Spectra of Linearized Operators for NLS Solitary Waves

2006-11-15

arxiv.org/abs/math/0611483v1

Mathematics

Analysis of PDEs

submitted December 2005, revised November 2006

Scientific paper

Nonlinear Schr\"odinger (NLS) equations with focusing power nonlinearities
have solitary wave solutions. The spectra of the linearized operators around
these solitary waves are intimately connected to stability properties of the
solitary waves, and to the long-time dynamics of solutions of (NLS). We study
these spectra in detail, both analytically and numerically.

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