Reflectionless Solutions for Square Matrix NLS with Vanishing Boundary Conditions

Reflectionless Solutions for Square Matrix NLS with Vanishing Boundary Conditions

In this article we derive the reflectionless solutions of the 2 + 2 matrix NLS equation with vanishing boundary conditions and four different symmetries by using the matrix triplet method of representing the Marchenko integral kernel in separated form. Apart from using the Marchenko method, these so...

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Veröffentlicht in:Mathematical physics, analysis, and geometry analysis, and geometry, 2019-12, Vol.22 (4), p.1-29, Article 26
Hauptverfasser: Demontis, Francesco, van der Mee, Cornelis
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Boundary conditions
Geometry
Group Theory and Generalizations
Mathematical analysis
Mathematical and Computational Physics
Matrix methods
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung:In this article we derive the reflectionless solutions of the 2 + 2 matrix NLS equation with vanishing boundary conditions and four different symmetries by using the matrix triplet method of representing the Marchenko integral kernel in separated form. Apart from using the Marchenko method, these solutions are also verified by direct substitution in the 2 + 2 NLS equation.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-019-9323-7