Orateur
Jiao He
(LMO)
Description
In this talk, we demonstrate how the Lax pair structure leads to an explicit formula for the Benjamin–Ono Hierarchy on the line. We then present two main applications of this formula. First, we obtain a complete classification of traveling wave solutions for all higher-order flows within the hierarchy. Second, we investigate the zero-dispersion limit of these flows and provide a precise characterisation of the limit as an alternating sum of branches. This is a joint work with Patrick Gérard.