Numerical study of Davey-Stewartson I systems
Analysis of PDEs
2021-09-21 v1 Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.2109.09169,
title = {Numerical study of Davey-Stewartson I systems},
author = {J. Frauendiener and C. Klein and U. Muhammad and N. Stoilov},
journal= {arXiv preprint arXiv:2109.09169},
year = {2021}
}