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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.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Mar 11, 2020
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