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SUMMARY:Linearisable Abel equations and the Gurevich-Pitaevskii problem - 
 Stanislav Opanasenko (Loughborough University)
DTSTART:20220711T133000Z
DTEND:20220711T140000Z
UID:TALK175832@talks.cam.ac.uk
DESCRIPTION:Applying symmetry reduction to a class of SL(2\;R)-invariant t
 hird-order ODEs\, we obtain Abel equations whose general solution can be p
 arametrised by hypergeometric functions. Particular case of this construct
 ion provides a general parametric solution to the Kudashev equation\, an O
 DE arising in the asymptotic analysis of a simultaneous solution to the Kd
 V equation and the stationary part of its higher non-autonomous symmetry.
LOCATION:Seminar Room 1\, Newton Institute
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