Date: Monday, January 23, 2017
Location: 1866 East Hall (4:00 PM to 5:00 PM)
Title: Semiclassical Aspects of the ThreeWave Resonant Interaction
Abstract: I will describe joint work with Robert Buckingham and Robert Jenkins to analyze the initialvalue problem for the threewave resonant interaction equations, an integrable system governing three quadratically coupled fields, in an appropriate semiclassical limit. As the system is nondispersive, 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.
Files:
Speaker: Peter Miller
Institution: University of Michigan
Event Organizer: Thomas Bothner bothner@umich.edu
