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

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Linearisable Abel equations and the Gurevich-Pitaevskii problem

Download to your calendar using vCal

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:

Note that ex-directory lists are not shown.

Other lists

Computer Lab, FW09 and Online (link in abstract) Senior Parlour, Gonville & Caius College Type the title of a new list here

Other talks

Title to be confirmed Title to be confirmed Title to be confirmed Welfare Reform and the Imperative of Cooperation  Life, death, and the discovery of PDAR: the Pol II Degradation-dependent Apoptotic Response  Title to be confirmed
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity