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 problem

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

HY2W01 - Modulation theory and dispersive shock waves

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity