Kinetic, potential and surface tension energies of solitary waves in deep water
arXiv:1509.00317 · doi:10.1088/1751-8113/48/42/42FT01
Abstract
We present an exact relation among the kinetic, potential and surface tension energies of a solitary wave in deep water in all dimensions. We deduce its non-existence in the absence of the effects of surface tension, provided that gravity acts in a direction opposite to what is physically realistic.