Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256390 | Physica D: Nonlinear Phenomena | 2015 | 20 Pages |
Abstract
We provide a detailed numerical study of various issues pertaining to the dynamics of the Burgers' equation perturbed by a weak dispersive term: blow-up in finite time versus global existence, nature of the blow-up, existence for “long” times, and the decomposition of the initial data into solitary waves plus radiation. We numerically construct solitary waves for fractional Korteweg-de Vries equations.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Christian Klein, Jean-Claude Saut,