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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Linearisable Abel equations and the Gurevich-Pitaevskii problem

## Linearisable Abel equations and the Gurevich-Pitaevskii problemAdd to your list(s) Download to your calendar using vCal - Eugene Ferapontov (Loughborough University)
- Wednesday 25 September 2024, 16:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. TWT - Twistor theory 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 Gurevich—Pitaevskii problem, thus giving the first term of a large time asymptotic expansion of its solution in the oscillatory (Whitham) zone. Based on joint work with S. Opanasenko. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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