A singular integrable equation from short capillary-gravity waves

2003/03/20 by M. A. Manna, Manna, M. A., A. Neveu +1 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Coastal and Marine Dynamics #Geophysics and Gravity Measurements #Ocean Waves and Remote Sensing #hep-th #nlin.SI #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0303085

4 pages, 2 figures

arxiv created 2003/03/20 · arxiv updated 2009/11/30

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.

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