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Asymptotic Analysis of the Interaction Between a Soliton and a Regular Gas of Solitons

[HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond October 18, 2021 - October 22, 2021

October 22, 2021 (11:30 AM PDT - 12:20 PM PDT)
Speaker(s): Ken McLaughlin (Colorado State University)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • Soliton gas

  • integrable

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Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

We provide a detailed asymptotic description of this interaction, for the case of the modified KdV equation. Kinetic velocity equations are derived, and they will be shown to be ubiquitous in singular limits of a number of integrable systems, and in random matrix theory as well.

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