Numerical study of Davey-Stewartson I systems
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Numerical study of Davey-Stewartson I systems |
| Type de publication | Journal Article |
| Year of Publication | Submitted |
| Auteurs | Frauendiener J, Klein C, Muhammad U, Stoilov N |
| Journal | STUDIES IN APPLIED MATHEMATICS |
| Type of Article | Article; Early Access |
| ISSN | 0022-2526 |
| Mots-clés | Blow-up, Davey-Stewartson equations, dromions, Fourier spectral method |
| Résumé | An efficient high precision hybrid numerical approach for integrable Davey-Stewartson (DS) I equations for trivial boundary conditions at infinity is presented for Schwartz class initial data. The code is used for a detailed numerical study of DS I solutions in this class. Localized stationary solutions are constructed and shown to be unstable against dispersion and blow-up. A finite-time blow-up of initial data in the Schwartz class of smooth rapidly decreasing functions is discussed. |
| DOI | 10.1111/sapm.12491 |