A Discourse on the Benney Equation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
It is shown that the Benney system is equivalent to a one body classical dynamical problem in which the interaction potential is a functional of the action function. The general solution of this equation is responsible for the general solution of the Benney system. Some particular solutions of the selfconsistent Hamilton-Jacobi equation arising in this investigation are presented in explicit form.
Cite
@article{arxiv.math-ph/0008015,
title = {A Discourse on the Benney Equation},
author = {A. N. Leznov and J. Sanchez Mondragon},
journal= {arXiv preprint arXiv:math-ph/0008015},
year = {2007}
}
Comments
LaTeX, 19 pages