International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 37274, 20 pages
doi:10.1155/2007/37274
Research Article
Comparison of KP and BBM-KP Models
Department of Mathematics, Louisiana State University, Baton Rouge 70803, LA, USA
Received 26 January 2007; Accepted 17 May 2007
Academic Editor: Nils Ackermann
Copyright © 2007 Gideon P. Daspan and Michael M. Tom. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.