Nonlinear Schrödinger equations and their spectral semi-discretizations over long times (Q967204)
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scientific article; zbMATH DE number 5702493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear Schrödinger equations and their spectral semi-discretizations over long times |
scientific article; zbMATH DE number 5702493 |
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Nonlinear Schrödinger equations and their spectral semi-discretizations over long times (English)
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28 April 2010
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The authors investigate the solutions of cubic Schrödinger equations with small initial data (or small nonlinearity) and their spectral semi-discretizations in the space using analyzing a modulated Fourier expansion in time based on the paper of \textit{D. Cohen, E. Hairer} and \textit{C. Lubich} [Arch. Ration. Mech. Anal. 187, No. 2, 341--368 (2008; Zbl 1145.35087)].
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nonlinear Schrödinger equation
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spectral semi-discretization
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long-time behavior
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near-conservation of actions, energy
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momentum
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modulated Fourier expansion
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0.9376772
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0.92105454
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0.9189183
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0.9170945
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0.91656446
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0.91615224
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