A singular integrable equation from short capillary-gravity waves
arXiv:physics/0303085
Abstract
From a columnar approximation of the Euler equations of an incompressible fluid with surface tension, we derive in the short-wave approximation a new integrable classical 1+1 dimensional field theory for the motion of the surface. Together with a Lorentz invariance,this system has the novel feature of solutions which become multiple valued in finite time.
4 pages, 2 figures