Linearisable Abel equations and the Gurevich-Pitaevskii problem
- đ¤ Speaker: Stanislav Opanasenko (Loughborough University)
- đ Date & Time: Monday 11 July 2022, 14:30 - 15:00
- đ Venue: Seminar Room 1, Newton Institute
Abstract
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 construction provides a general parametric solution to the Kudashev equation, an ODE arising in the asymptotic analysis of a simultaneous solution to the KdV equation and the stationary part of its higher non-autonomous symmetry.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Stanislav Opanasenko (Loughborough University)
Monday 11 July 2022, 14:30-15:00