This talk is about soliton collisions in multi-component integrable soliton equations and the mathematics which grows out in its study. We will use the n-Manakov system (a.k.a. vector NLS) as our primary

We derive the quintic non-linear Schrödinger equation from the many-body dynamics of Bosons interacting with three-body interaction potentials in the Gross-Pitaevskii regime. In this regime, the short-range correlation structure between particles has

https://indico.math.cnrs.fr/event/17388/

https://indico.math.cnrs.fr/event/17345/

https://indico.math.cnrs.fr/event/17518/

https://indico.math.cnrs.fr/event/17421/