Solitons  play a central role in both physics and mathematics, where they emerge as robust solutions to nonlinear equations governing a broad range of systems. Their remarkable stability makes them ideal probes of fundamental phenomena, from nonlinear optics to fluid dynamics. In ultracold quantum gases, solitons offer a unique window into the interplay between interactions and coherence, enabling controlled studies of non-equilibrium dynamics, integrability, and quantum transport. By bridging abstract mathematical structures with cutting-edge experiments, solitons provide a unifying language for nonlinear science and a powerful tool for exploring the emergent behavior of many-body quantum systems.

With the support of France 2030 PIA funding: ANR-21-EXES-0003