International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 37274, 20 pages
doi:10.1155/2007/37274
Comparison of KP and BBM-KP models
Gideon P. Daspan
and Michael M. Tom
Department of Mathematics, Louisiana State University, Baton Rouge 70803, LA, USA
Abstract
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≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.