BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Linearisable Abel equations and the Gurevich-Pitaevskii problem - 
 Eugene Ferapontov (Loughborough University)
DTSTART:20240926T090000Z
DTEND:20240926T100000Z
UID:TALK219712@talks.cam.ac.uk
DESCRIPTION:Applying symmetry reduction to a class of SL(2\, R)-invariant 
 third-order ODEs\, we obtain Abel equations whose general solution can be 
 parametrised by hypergeometric functions. Particular case of this construc
 tion provides a general parametric solution to the Kudashev equation\, an 
 ODE arising in the Gurevich--Pitaevskii problem\, thus giving &nbsp\;the f
 irst term of a large time asymptotic expansion of its solution in the osci
 llatory (Whitham) zone. Based on joint work with S. Opanasenko.
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR