The collective behaviour of soliton ensembles (ie the solitonic gas) is studied using the
methods of the direct numerical simulation. Traditionally this problem was addressed in the
context of integrable models such as the celebrated KdV equation. We extend this analysis
to non-integrable KdV–BBM type models. Some high resolution numerical results are
presented in both integrable and nonintegrable cases. Moreover, the free surface elevation
probability distribution is shown to be quasi-stationary. Finally, we employ the asymptotic …