Abstract
In this paper it is shown how the approximate evolution of soliton forming initial conditions for the Benjamin-Ono equation can be described completely in terms of an integrable two-dimensional phase-plane system. 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 final soliton state for a wide range of initial conditions.
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