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A semi-explicit multi-symplectic Fourier pseudospectral scheme for the coupled nonlinear Schrödinger equation

In this paper, we propose a semi-explicit multi-symplectic scheme to solve the coupled nonlinear Schrödinger equation. The scheme is derived by multi-symplectic Fourier pseudospectral method in spatial discretization and Euler method in temporal discretization. It is verified that the obtained mult...

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Bibliographic Details
Main Authors: Hao Fu, Xu Qian, Songhe Song
Format: Conference Proceeding
Language:English
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Summary:In this paper, we propose a semi-explicit multi-symplectic scheme to solve the coupled nonlinear Schrödinger equation. The scheme is derived by multi-symplectic Fourier pseudospectral method in spatial discretization and Euler method in temporal discretization. It is verified that the obtained multi-symplectic scheme has corresponding discrete multi-symplectic conservation laws. Numerical experiments show the good preservation property of the proposed method during long-time numerical calculation.
DOI:10.1109/ICICIP.2013.6568107