Comparison of KP and BBM-KP models

Identifier

etd-06222007-194016

Author

Gideon Pyelshak Daspan, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

Abstract

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.

Date

2007

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Daspan, Gideon Pyelshak, "Comparison of KP and BBM-KP models" (2007). LSU Doctoral Dissertations. 3338.
https://repository.lsu.edu/gradschool_dissertations/3338

Committee Chair

Michael Mudi Tom

DOI

10.31390/gradschool_dissertations.3338