Physical Sciences and Mathematics Commons^™

Comparison Of Kp And Bbm-Kp Models, Gideon Pyelshak Daspan

LSU Doctoral Dissertations

In this dissertation we show that the solution of the pure initial-value problems for the KP and regularize KP equations are the same, to within the order of accuracy attributable to either, on the time scale from zero to epsilon to negative three halves power, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.