A Survey on Systems of Nonlinear Schrödinger Equations
Antonio Ambrosetti (2008)
Bollettino dell'Unione Matematica Italiana
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We survey some recent results dealing with some classes of systems of nonlinear Schrödinger equations.
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Antonio Ambrosetti (2008)
Bollettino dell'Unione Matematica Italiana
Similarity:
We survey some recent results dealing with some classes of systems of nonlinear Schrödinger equations.
Zhengping Wang, Huan-Song Zhou (2009)
Journal of the European Mathematical Society
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Mathematische Zeitschrift
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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...
Nakao Hayashi (1986)
Manuscripta mathematica
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Mathematische Zeitschrift
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Manuscripta mathematica
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