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arXiv · 2109.09169

Numerical study of Davey-Stewartson I systems

J. Frauendiener·C. Klein·U. Muhammad·N. Stoilov
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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.

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J. Frauendiener, C. Klein, U. Muhammad, N. Stoilov. 2021-09-19. Numerical study of Davey-Stewartson I systems. https://arxiv.org/abs/2109.09169

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