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Anatoly Kamchatnov

2008-04-02
15:30:00 - 17:20:00

Physics and mathematics of dispersive shocks: An introduction

405 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this lecture, we shall introduce basic notions of Whitham modulation theory. The method will be illustrated by a simple example of derivation of Whitham equations for a modulated periodic wave which evolution is governed by linear Klein-Gordon equation. After that we shall proceed to derivation of Whitham equations for the KdV case.