Spectra of Linearized Operators for NLS Solitary Waves
Abstract
Nonlinear Schrödinger equations (NLSs) 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 NLSs. We study these spectra in detail, both analytically and numerically.
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Information & Authors
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Published In
SIAM Journal on Mathematical Analysis
Pages: 1070 - 1111
DOI: 10.1137/050648389
ISSN (online): 1095-7154
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Copyright © 2007 Society for Industrial and Applied Mathematics.
History
Submitted: 25 December 2005
Accepted: 5 April 2007
Published online: 24 October 2007
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