Bridges lectures on modulation of water waves

I123-surfaceTom Bridges lectured at the summer school on “modulation of water waves“.  The lectures gave an introduction to how modulation of relative equilibria can lead to well-known model equations like KdV, KP, Boussinesq, and Gardner equations.  The advantage of this approach is that the modulation equations emerge in a “universal form” with the coefficients determined by derivatives of conservation laws evaluated on the basic state.  This strategy leads to a range of new applications for such model equations.  Background material includes Bridges (2012), Bridges (2013), and Bridges (2014). The slides from Parts 1 and 2 of the lectures can be downloaded here and here.  Lecture notes will be forthcoming.

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