University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Integrable reductions of the KP-Whitham modulation system

Integrable reductions of the KP-Whitham modulation system

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

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

HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves

Until recently, modulation theory has primarily been used for the study of l (1+1) dimensional nonlinear wave systems. In the last few years there have been several works aimed at generalizing and applying Whitham theory to systems in (2+1) dimensions. This talk will focus on the Whitham Modulation system for the Kadomtsev-Petviashvili (KP) equation (an integrable two-dimensional generalization of the KdV equation). As currently written, the KP-Whitham equations fail the Haantjes tensor test for integrability. Here, the two-dimensional reductions of the modulation equations are shown to be integrable. These reductions may provide clues for proving the integrability of the full KP-Whitham equations.

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.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity