Geometric Transformations on Null Curves in the Anti-de Sitter 3-Space
arXiv:2312.10765 · doi:10.3842/SIGMA.2025.009
Abstract
We provide a geometric transformation on null curves in the anti-de Sitter 3-space (AdS) which induces the Bäcklund 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.
The present paper is a continuation of the work arXiv:2311.11137