Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 39, Issue 4, Pages 1070-1111Publisher
SIAM PUBLICATIONS
DOI: 10.1137/050648389
Keywords
spectrum; linearized operator; nonlinear Schrodinger equation; solitary waves; stability
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Nonlinear Schrodinger 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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