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Alexander Bivolcic (University at Buffalo)
Thursday 18 August 2022, 11:30-12:00
Integrable reductions of the KP-Whitham modulation system
- đ¤ Speaker: Alexander Bivolcic (University at Buffalo)
- đ Date & Time: Thursday 18 August 2022, 11:30 - 12:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
Until recently, modulation theory has primarily been used for the study of l (1+1) dimensional nonlinear wave systems. In the last few years there have been several works aimed at generalizing and applying Whitham theory to systems in (2+1) dimensions. This talk will focus on the Whitham Modulation system for the Kadomtsev-Petviashvili (KP) equation (an integrable two-dimensional generalization of the KdV equation). As currently written, the KP-Whitham equations fail the Haantjes tensor test for integrability. Here, the two-dimensional reductions of the modulation equations are shown to be integrable. These reductions may provide clues for proving the integrability of the full KP-Whitham equations.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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