KIT | KIT-Bibliothek | Impressum | Datenschutz

Eigenvalue Analysis of the Lax Operator for the One-Dimensional Cubic nonlinear Defocusing Schrödinger Equation

Liao, Xian 1; Plum, Michael 1
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)

Abstract:

We characterize the location and number of eigenvalues for the Lax operator associated to the one-dimensional cubic nonlinear defocusing Schrödinger equation. With the help of a newly discovered unitary matrix, the analysis reduces to the study of the spectral problem for a unitarily equivalent operator, which involves only the amplitude and the phase velocity of the potential. Examples of potentials with special amplitude and phase velocity are investigated.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 31.12.2023
Sprache Englisch
Identifikator ISSN: 0036-1410, 1095-7154
KITopen-ID: 1000167930
Erschienen in SIAM Journal on Mathematical Analysis
Verlag Society for Industrial and Applied Mathematics (SIAM)
Band 55
Heft 6
Seiten 7399–7425
Vorab online veröffentlicht am 08.11.2023
Nachgewiesen in Web of Science
Scopus
Dimensions
Relationen in KITopen
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page