Nonlinear Schrödinger equations with vanishing and non-vanishing boundary conditions. Spectral properties

Here we analyze the multicomponent NLS equations with non-vanishing boundary conditions and their spectral properties. We demonstrate that depending on the specific choice of the symmetric space (relevant for the MNLS) and on the asymptotic behavior of the Lax operator we may have a variety of confi...

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Bibliographic Details
Main Author: Gerdjikov, V. S.
Format: Conference Proceeding
Language:English
Subjects:
Asymptotic properties
Boundary conditions
Mathematical analysis
Schrodinger equation
Online Access:Get full text
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Summary:Here we analyze the multicomponent NLS equations with non-vanishing boundary conditions and their spectral properties. We demonstrate that depending on the specific choice of the symmetric space (relevant for the MNLS) and on the asymptotic behavior of the Lax operator we may have a variety of configurations for the continuous and discrete spectra of the Lax operators.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0179313