Analysis Seminar

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The One Dimensional Cubic Half Wave Equation: Small Mass Solitons, Almost Integrability and Transition to High Frequencies

Speaker: Patrick Gerard, University Paris-Sud

Location: Warren Weaver Hall 1302

Date: Thursday, May 12, 2016, 11 a.m.

Synopsis:

The one dimensional cubic half wave equation is a simple example of a fractional NLS equation with vanishing dispersion. Its focusing version admits solitons with arbitrarily small mass. I will explain how these solitons are connected to some integrable system as the velocity tends to the speed of light, and how this connection allows to construct two-soliton solutions displaying some transition to high frequencies.