BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Lecture 1 Analysis of Riemann - Hilbert problems\, some nuts and b
 olts\, and applications to the detailed description of solitonic interacti
 ons for the KdV equation and MKdV equation. - Ken McLaughlin (Colorado Sta
 te University)
DTSTART:20220803T143000Z
DTEND:20220803T153000Z
UID:TALK177137@talks.cam.ac.uk
DESCRIPTION:This talk is intended to be an introduction to the analysis of
  Riemann-Hilbert problems in applications to the study of solitonic intera
 ctions. We will start with a brief summary of direct scattering theory aim
 ed at the Riemann-Hilbert problem formulation of the inverse scattering pr
 oblem.&nbsp\; Then we will develop the classic asymptotic calculation of t
 he phase shift in the interaction between two solitons\, explained via an 
 analysis of the meromorphic Riemann-Hilbert problem characterizing this so
 lution. Following that\, time permitting\, we will cut to the chase scene\
 , and see how to compute the interaction of a single soliton with a regula
 r soliton gas.&nbsp\; In the negative time that remains after that\, we wi
 ll discuss how to characterize more general configurations of solitonic ga
 sses via a Riemann-Hilbert formulation.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR