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03/06/07 Colloquium
Dr. Peter Miller
University of Michigan, Ann Arbour
University of Michigan, Ann Arbour
The Semiclassical Modified Nonlinear
Schrodinger Equation: Facts and Artifacts
Abstract:
I will discuss some recent work (joint with J. DiFranco) on
semiclassicalCauchy problems for an integrableperturbation of the
focusing nonlinear Schrodinger equation. The perturbation is singular in the sense of inverse-scattering and also in the more practical sense that the modified equation admits solutions with surprisingly different properties than the unmodified equation. "Facts and Artifacts" is a reference to a similarly-titled paper by E. V. Doktorov, whose lecture on the subject in Edinburgh in 2004 originally piqued our interest.
