Displaying similar documents to “Geometric optics and instability for NLS and Davey-Stewartson models”

Numerical study of the Davey-Stewartson system

Christophe Besse, Norbert J. Mauser, Hans Peter Stimming (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We deal with numerical analysis and simulations of the Davey-Stewartson equations which model, for example, the evolution of water surface waves. This time dependent PDE system is particularly interesting as a generalization of the 1-d integrable NLS to 2 space dimensions. We use a time splitting spectral method where we give a convergence analysis for the semi-discrete version of the scheme. Numerical results are presented for various blow-up phenomena of the equation, including...