Jun 3 – 7, 2024
SISSA
Europe/Rome timezone

Bargmann gas solution to the mKdV equation

Jun 6, 2024, 11:00 AM
50m
128 (SISSA)

128

SISSA

Via Bonomea 265, Trieste
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 $x \to \pm \infty$, with same parameters, but different shift $x^{\pm}_0$.
This is a joint work with Ken McLaughlin (Tulane U.) and Robert Jenkins (UCF).

Primary author

Manuela Girotti (Emory University)

Presentation materials