Title
Spectra of Linearized Operators for NLS Solitary Waves
Abstract
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.
Year
DOI
Venue
2007
10.1137/050648389
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
spectrum,linearized operator,nonlinear Schrodinger equation,solitary waves,stability
Nonlinear system,Mathematical physics,Mathematical analysis,Schrödinger equation,D'Alembert operator,Spectral line,Operator (computer programming),Nonlinear Schrödinger equation,Mathematics,Numerical stability
Journal
Volume
Issue
ISSN
39
4
0036-1410
Citations 
PageRank 
References 
5
1.44
2
Authors
4
Name
Order
Citations
PageRank
Shu-ming Chang1308.19
Stephen Gustafson252.79
Kenji Nakanishi351.44
Tai-Peng Tsai451.77