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SUMMARY:Integrable reductions of the KP-Whitham modulation system - Alexan
 der Bivolcic (University at Buffalo)
DTSTART:20220818T103000Z
DTEND:20220818T110000Z
UID:TALK177425@talks.cam.ac.uk
DESCRIPTION:Until recently\, modulation theory has primarily been used for
  the study of l (1+1) dimensional nonlinear wave&nbsp\;systems. In the las
 t few years there have been several works aimed at generalizing and applyi
 ng Whitham theory to systems in (2+1) dimensions.&nbsp\;This talk will foc
 us on the Whitham Modulation system for the Kadomtsev-Petviashvili (KP) eq
 uation (an integrable two-dimensional generalization of the KdV equation).
 &nbsp\;As currently written\, the KP-Whitham equations fail the Haantjes t
 ensor test for integrability. Here\, the two-dimensional reductions of the
  modulation equations are shown to be integrable. These reductions may pro
 vide clues for proving the&nbsp\;integrability of the full KP-Whitham equa
 tions.
LOCATION:Seminar Room 2\, Newton Institute
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