Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations
In this paper, we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger equations. The numerical dispersion relation and group velocity are investigated. It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrödinge...
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| Veröffentlicht in: | Acta Mathematicae Applicatae Sinica 2020-03, Vol.36 (2), p.503-515 |
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| container_title | Acta Mathematicae Applicatae Sinica |
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| creator | Li, Hao-chen Sun, Jian-qiang Ye, Hang He, Xue-jun |
| description | In this paper, we study the dispersive properties of multi-symplectic discretizations for the nonlinear Schrödinger equations. The numerical dispersion relation and group velocity are investigated. It is found that the numerical dispersion relation is relevant when resolving the nonlinear Schrödinger equations. |
| doi_str_mv | 10.1007/s10255-020-0933-4 |
| format | Article |
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| subjects | Applications of Mathematics Dispersion Electrons Group velocity Math Applications in Computer Science Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Nonlinear equations Schrodinger equation Theoretical |
| title | Dispersion Analysis of Multi-symplectic Scheme for the Nonlinear Schrödinger Equations |
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