A singular integrable equation from short capillary-gravity waves

M. A. Manna; A. Neveu

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A singular integrable equation from short capillary-gravity waves

M. A. Manna·A. Neveu

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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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physics.flu-dyn hep-th nlin.SI

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M. A. Manna, A. Neveu. 2003-03-20. A singular integrable equation from short capillary-gravity waves. https://arxiv.org/abs/physics/0303085

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