2 papers
nlin.SI2025
Breather interactions in the integrable discrete Manakov system and trigonometric Yang-Baxter maps
Vincent Caudrelier, Nicholas J. Ossi, Barbara Prinari
The goal of this work is to obtain a complete characterization of soliton and breather interactions in the integrable discrete Manakov (IDM) system, a vector generalization of the…
math-ph2025
Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry
Luen-Chau Li, Vincent Caudrelier
The study of the set-theoretic solutions of the reflection equation, also known as reflection maps, is closely related to that of the Yang-Baxter maps. In this work, we construct r…