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Universality of High-Order Rogue Waves

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HY2W02 - Analysis of dispersive systems

Rogue waves are short-lived, high-intensity pulses that have been observed in the ocean and fiber optics. We will discuss a series of recent results indicating that high-order rogue-wave behavior is universally described for a variety of different equations and initial conditions by a family of functions connected to the Painleve-III hierarchy and first encountered by Suleimanov in 2017.  This is joint work with Deniz Bilman, Bob Jenkins, and Peter Miller.

This talk is part of the Isaac Newton Institute Seminar Series series.

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