A singular integrable equation from short capillary-gravity waves
Fluid Dynamics
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.physics/0303085,
title = {A singular integrable equation from short capillary-gravity waves},
author = {M. A. Manna and A. Neveu},
journal= {arXiv preprint arXiv:physics/0303085},
year = {2007}
}
Comments
4 pages, 2 figures