Quaternion algebra approach to nonlinear Schrödinger equations with nonvanishing boundary conditions

Quaternion algebra approach to nonlinear Schrödinger equations with nonvanishing boundary conditions

In this article we apply quaternionic linear algebra and quaternionic linear system theory to develop the inverse scattering transform theory for the nonlinear Schrödinger equation with nonvanishing boundary conditions. We also determine its soliton solutions by using triplets of quaternionic matric...

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Veröffentlicht in:Ricerche di matematica 2024-11, Vol.73 (5), p.2813-2835
Hauptverfasser: Demontis, Francesco, van der Mee, Cornelis
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
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Zusammenfassung:In this article we apply quaternionic linear algebra and quaternionic linear system theory to develop the inverse scattering transform theory for the nonlinear Schrödinger equation with nonvanishing boundary conditions. We also determine its soliton solutions by using triplets of quaternionic matrices.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-023-00798-6