Integrable Systems: Geometrical and Analytical Approaches

Bargmann gas solution to the mKdV equation

Jun 6, 2024, 11:00 AM

50m

128 (SISSA)

Lecture

Speaker

Manuela Girotti (Emory University)

Description

We construct a new class of (gas) solutions of the mKdV equation as a limit of $2N$ solitons, eventually in the presence of an additional dispersive coefficient. We also analyze the long-time behaviour of the profile: the solution is asymptotically an elliptic solution at both $x\to \pm \mathrm{\infty }$, with same parameters, but different shift $x_0^{\pm }$.
This is a joint work with Ken McLaughlin (Tulane U.) and Robert Jenkins (UCF).

Presentation materials

Girotti_FullGas_SISSA.pdf