Differential Galois Theory and Darboux Transformations for Integrable Systems

par Raquel Sánchez Cauce

jeudi 22 mars 2018, 10:30 → 11:30 Europe/Paris

Salle XR203 (Bâtiment XLIM)

We apply the Differential Galois Theory of linear partial differential systems to the Bäcklund-Darboux transformations of the AKNS solitonic partial differential equations. We proved that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system. As an example, we study the integrability in closed form of the linear systems corresponding to the solitonic solutions of Korteweg-de Vries equation (KdV). This is a joint work with Sonia Jiménez, Juan J. Morales and María Ángeles Zurro.