2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56606It 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.LaTeX, 19 pagesMathematical Physicstext