A singular integrable equation from short capillary-gravity waves
流体动力学
2007-05-23 v1 高能物理 - 理论
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
4 pages, 2 figures