Analysis of solitonic interactions, and random matrix theory

  • 2 November 2022
  • 1500-1600
  • Sch 1.05

Ken McLaughlin (Colorado State University)

I will describe the interaction between a single soliton and a gas of solitons, providing for the first time a mathematical justification for the kinetic theory as posited by Zakharov in the 1970s.  Then I will explain how to use random matrix theory to introduce randomness into a large collection of solitons.  I will report on joint work with Manuela Girotti, Tamara Grava, Robert Jenkins, and Alexander Minakov.

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