A singular integrable equation from short capillary-gravity waves

Details A singular integrable equation from short capillary-gravity waves A singular integrable equation from short capillary-gravity waves

2003-03-20

arxiv.org/abs/physics/0303085v1

Physics

Fluid Dynamics

4 pages, 2 figures

Scientific paper

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.

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