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Article Dans Une Revue Studies in Applied Mathematics Année : 2022

Numerical study of Davey–Stewartson I systems

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.

Dates et versions

hal-03885203 , version 1 (05-12-2022)

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Jörg Frauendiener, Christian Klein, Umar Muhammad, Nikola Stoilov. Numerical study of Davey–Stewartson I systems. Studies in Applied Mathematics, 2022, 149 (1), pp.76-94. ⟨10.1111/sapm.12491⟩. ⟨hal-03885203⟩
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