Archivio Istituzionale della RicercaWe provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the Backlund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending.
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space / Musso, E.; Pàmpano, A.. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - ELETTRONICO. - 21:(2025), pp. 1-18. [10.3842/SIGMA.2025.009]
Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
Musso E.;
2025
Abstract
We provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the Backlund transformation for the KdV equation. In addition, we show that this geometric transformation satisfies a suitable permutability theorem. We also illustrate how to implement it when the original null curve has constant bending.
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2999942