Comparison of KP and BBM-KP Models

It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0 ≤ t ≤ −3/2 , during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles. under the Creative Commons Attribution License, which permits unrestricted use, distribution , and reproduction in any medium, provided the original work is properly cited.