Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
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.
Authors
- Emilio Musso (ORCID: https://orcid.org/0000-0002-0899-819X)
- Álvaro Pámpano (ORCID: https://orcid.org/0000-0003-2239-2247)
Publication Details
- Journal
- Symmetry Integrability and Geometry Methods and Applications
- Published
- 2025-02-12
- DOI
- https://doi.org/10.3842/sigma.2025.009
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Texas Tech University
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Politecnico di Torino
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni