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BEGIN:VEVENT
UID:897adcfc-e60e-41d9-84c6-e2015a81d024@findlocal.community
DTSTAMP:20261026T223933Z
DTSTART;TZID=America/Detroit:20261026T160000
DTEND;TZID=America/Detroit:20261026T180000
SUMMARY:Long time asymptotics of the generalized soliton gas for the mKdV
  equation
DESCRIPTION:We analyze a new class of solutions of the modified KdV equat
 ion introduced by Dyachenko\, Zakharov\, and Zakharov\, and which can be
  interpreted as a soliton gas. These solutions are characterized by a Ri
 emann-Hilbert problem which arises as the limit $N\\to \\infty$ of a seq
 uence of $2N$-soliton RH problems\, where the solitons display two diffe
 rent triangularity in the jumps. The limiting RH problem belongs to a no
 vel class of problems\, where the jump matrices do not have any zero ent
 ry (as opposed to the classical upper/lower triangular setting). We show
  that the initial profile of such a gas solution is approaching a cnoida
 l wave solution for $x\\to \\pm \\infty$ with different phase shifts\, a
 nd we establish an asymptotic description of the gas of solitons for lar
 ge times that is valid over the entire spatial domain\, in terms of Jaco
 bi elliptic functions\, with slowly modulated phase shifts as time varie
 s from $-\\infty$ to $+\\infty$. This is a joint work with Ken McLaughli
 n (Tulane U.) and Robert Jenkins (UCF). *To request access to the Zoom r
 oom\, please contact Nathan Hayford at nhayford [at] umich.edu.*\n\nMore
  info: https://events.umich.edu/event/153062\n\nhttps://findlocal.commun
 ity/event/897adcfc-e60e-41d9-84c6-e2015a81d024
LOCATION:The University of Michigan\, Ann Arbor\, MI
URL:https://findlocal.community/event/897adcfc-e60e-41d9-84c6-e2015a81d02
 4
STATUS:CONFIRMED
SEQUENCE:0
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