the authors of [@ABR] were able to construct approximate solutions of (\[E16\]) that were even functions with a positive absolute maximum at $z=0$. As $\tilde{\gamma}$ approached $1$ the oscillating tails of the solitary wave became more prominent and the maximum value of the wave decreased. It was found that the length of the intervals between consecutive zeros of the oscillating tails was quite close to the value predicted by the asymptotic analysis of [@B2].

In [@KB] the authors solved numerically the periodic initial-value problem for the Benjamin equation using a pseudospectral (collocation) method in space coupled with a second-order time-stepping procedure. They confirmed that [*resolution*]{} of suitable general initial profiles into a number of solitary waves plus a dispersive tail (a phenomenon that has been observed in other nonlinear dispersive wave equations) also occurs in the case of the Benjamin equation. They specifically studied the resolution of initial Gaussian profiles into solitary waves contrasting it with the analogous resolution observed in the case of two BO-type equations. In some cases they observed, in addition to detached solitary waves, the emergence of clusters (pairs, triplets, etc.) of orbiting solitary waves that interacted among themselves. They conjectured that these structures would eventually 