On breather solutions of some hierarchies of nonlinear dispersive equations



In this talk I will briefly introduce hierarchies of some nonlinear dispersive equations, namely KdV, mKdV and Gardner hierarchies. We will see that some of  these hierarchies have soliton and breather solutions, suited to the level of the hierarchy. I will show that these soliton and breather solutions satisfy the same nonlinear ODE characterizing them for any member of the hierarchy and I will present a stability result for breather solution of some higher order mKdV equations.

Date: Aug 13, 2018 at 17:00 h
Venue: Beauchef 851, Torre Norte, Piso 7, Sala de Seminarios John Von Neumann CMM.
Speaker: Miguel Angel Alejo
Affiliation: Universidade Federal de Santa Catarina
Coordinator: Prof. Hanne Van Den Bosch

Posted on Aug 10, 2018 in CAPDE, Seminars