  We study numerically the evolution of perturbed Korteweg-de Vries solitons
and of well localized initial data by the Novikov-Veselov (NV) equation at
different levels of the "energy" parameter $ E $. We show that as $ |E| \to
\infty $, NV behaves, as expected, similarly to its formal limit, the
Kadomtsev-Petviashvili equation. However at intermediate regimes, i.e. when $ |
E | $ is not very large, more varied scenarios are possible, in particular,
blow-ups are observed. The mechanism of the blow-up is studied.
