Spectra of Linearized Operators for NLS Solitary Waves | Zendy

Shu-Ming Chang | Zendy; Stephen J. Gustafson | Zendy; Kenji Nakanishi | Zendy; TaiPeng Tsai | Zendy

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Spectra of Linearized Operators for NLS Solitary Waves

Author(s) -

Shu-Ming Chang,

Stephen J. Gustafson,

Kenji Nakanishi,

TaiPeng Tsai

Publication year - 2007

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/050648389

Subject(s) - mathematics , nonlinear system , mathematical analysis , spectral line , stability (learning theory) , power (physics) , physics , classical mechanics , mathematical physics , quantum mechanics , machine learning , computer science

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

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