Seminar Event Detail

Integrable Systems and Random Matrix Theory

Date:  Monday, January 23, 2017
Location:  1866 East Hall (4:00 PM to 5:00 PM)

Title:  Semiclassical Aspects of the Three-Wave Resonant Interaction

Abstract:   I will describe joint work with Robert Buckingham and Robert Jenkins to analyze the initial-value problem for the three-wave resonant interaction equations, an integrable system governing three quadratically coupled fields, in an appropriate semiclassical limit. As the system is non-dispersive, long time limits do not reveal any particular simplification of the dynamics, but the semiclassical limit allows for the practical calculation of the interaction process. I will describe the construction of an appropriate semiclassical soliton ensemble and show how such ensembles can be used to understand the behavior of resonant triads in a wide variety of systems.


Speaker:  Peter Miller
Institution:  University of Michigan

Event Organizer:   Thomas Bothner


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