arXiv Open Access 2025

From NLS type matrix refactorisation problems to set-theoretical solutions of the 2- and 3-simplex equations

Sotiris Konstantinou-Rizos

Lihat Sumber

Abstrak

We present a method for constructing hierarchies of solutions to $n$-simplex equations by variating the spectral parameter in their Lax representation. We use this method to derive new solutions to the set-theoretical 2- and 3-simplex equations which are related to the Adler map and Nonlinear Schrödinger (NLS) type equations. Moreover, we prove that some of the derived Yang--Baxter maps are completely integrable.

Topik & Kata Kunci

nlin.SI math-ph

Penulis (1)

Sotiris Konstantinou-Rizos

Format Sitasi

APA MLA BibTeX

Konstantinou-Rizos, S. (2025). From NLS type matrix refactorisation problems to set-theoretical solutions of the 2- and 3-simplex equations. https://arxiv.org/abs/2504.21094

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓