A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Klein C, Saut J-C |
| Journal | PHYSICA D-NONLINEAR PHENOMENA |
| Volume | 295 |
| Pagination | 46-65 |
| Date Published | MAR 1 |
| Type of Article | Article |
| ISSN | 0167-2789 |
| Mots-clés | Blow-up, Fractional BBM equations, Fractional Korteweg-de Vries equations, Solitons, Whitham equations |
| Résumé | 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. (C) 2014 Elsevier B.V. All rights reserved. |
| DOI | 10.1016/j.physd.2014.12.004 |