Fall 2025
Time & Location: Typically talks will be in Gibson Hall at 3:00 pm on a Friday.
Organizers: Chen, Hongfei and Gkogkou, Aikaterini
October 10, 2025Title: TBA
Nick Cogan - Florida State University
Abstract: TBA
Time: TBA PMLocation: TBA
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October 17, 2025
Title: Extreme Superposition: Rogue Waves of Infinite Order, Universality, and Anomalous Temporal Decay
Deniz Bilman - the University of Cincinnati (Host): Ken
Abstract: Focusing nonlinear Schrödinger equation serves as a universal model for the amplitude of a wave packet in a general one-dimensional weakly-nonlinear and strongly-dispersive setting that includes water waves and nonlinear optics as special cases. Rogue waves of infinite order are a novel family of solutions of the focusing nonlinear Schrödinger equation that emerge universally in a particular asymptotic regime involving a large-amplitude and near-field limit of a broad class of solutions of the same equation. In this talk, we will present several recent results on the emergence of these special solutions along with their interesting asymptotic and exact properties. Notably, these solutions exhibit anomalously slow temporal decay and are connected to the third Painlevé equation. Finally, we will extend the emergence of rogue waves of infinite order to the first several flows of the AKNS hierarchy—allowing for arbitrarily many simultaneous flows. Time permitting, we will report on recent work regarding their space-time asymptotic behavior under an arbitrary flow from the hierarchy.
Time: 3:00 PM
Location: GI 126A
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October 24, 2025
Title: TBA
Jocelyn Chi - University of Minnesota Twin Cities
Abstract: TBA
Time: TBA PM
Location: TBA
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November 7, 2025
Title: TBA
Prerona Dutta - Xavier University
Abstract: TBA
Time: TBA PM
Location: TBA
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November 14, 2024
Title: TBA
Dana Ferranti - Worcester Polytechnic Institute (WPI)
Abstract: TBA
Time: TBA PM
Location: TBA
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