A Discourse on the Benney Equation

Details A Discourse on the Benney Equation A Discourse on the Benney Equation

2000-08-05

arxiv.org/abs/math-ph/0008015v1

Physics

Mathematical Physics

LaTeX, 19 pages

Scientific paper

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.

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