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 Chang | 1 | 30 | 8.19 |
Stephen Gustafson | 2 | 5 | 2.79 |
Kenji Nakanishi | 3 | 5 | 1.44 |
Tai-Peng Tsai | 4 | 5 | 1.77 |