Bäcklund Transformation for the Nonlinear Schrödinger Equation

Bäcklund Transformation for the Nonlinear Schrödinger Equation

In this note we present a new derivation of Bäcklund transformations for the nonlinear Schroedinger equation. We discuss the conserved quantities related with this transformation and its connection with the inverse scattering method. Besides, we construct a quantum analog of the Bäcklund transformat...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.264 (3), p.203-214
1. Verfasser: Belousov, N.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Inverse scattering
Mathematics
Mathematics and Statistics
Schrodinger equation
Transformations
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Zusammenfassung:In this note we present a new derivation of Bäcklund transformations for the nonlinear Schroedinger equation. We discuss the conserved quantities related with this transformation and its connection with the inverse scattering method. Besides, we construct a quantum analog of the Bäcklund transformation defined by Baxter’s Q-operator.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05992-9