期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 39, 期 4, 页码 1070-1111出版社
SIAM PUBLICATIONS
DOI: 10.1137/050648389
关键词
spectrum; linearized operator; nonlinear Schrodinger equation; solitary waves; stability
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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