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Modulated Waves and Transitional Patterns in the Sine-Gordon Equation

By Peter Miller, University of Michigan

In a 20-year period beginning in the early 1970's, Dave McLaughlin's career trajectory intersected with a vibrant team effort at the University of Arizona to understand nonlinear wave propagation in the setting of integrable equations and their perturbations.  Many papers generated from this group have continued to inspire new work on some old problems.  This talk will highlight some of the contributions from this team and some related recent work joint with Robert Buckingham on the semiclassical limit for the sine-Gordon equation.