Dispersion analysis of multi-symplectic scheme for the nonlinear Schrödinger equations (Q1987603)
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scientific article; zbMATH DE number 7189540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dispersion analysis of multi-symplectic scheme for the nonlinear Schrödinger equations |
scientific article; zbMATH DE number 7189540 |
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Dispersion analysis of multi-symplectic scheme for the nonlinear Schrödinger equations (English)
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15 April 2020
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Dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger (NLS) equations are investigated. Numerical dispersion relations and group velocities are derived for the single and coupled (NLS) equations depending on the space \(\Delta x\) and time \(\Delta t\) mesh sizes. These are confirmed by numerical results for the NLS equations.
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nonlinear Schrödinger equation
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multi-symplectic scheme
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dispersion analysis
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group velocity
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