APPROXIMATE EVOLUTION OF LUMP INITIAL CONDITIONS FOR THE BENJAMIN-ONEEQUATION

In this paper it is shown how the approximate evolution of soliton for ming initial conditions for the Benjamin-Ono equation can be described completely in terms of an integrable two-dimensional phase-plane syst em. It is found that there is good agreement between these approximate solutions and full numerical solutions of the Benjamin-Ono equation, both in the temporal evolution of the soliton amplitude and in the fin al soliton state for a wide range of initial conditions. (C) 1998 Else vier Science B.V. All rights reserved.