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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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Main Authors: | , , |
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Format: | Conference Proceeding |
Language: | English |
Subjects: | |
Online Access: | Request full text |
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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. |
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DOI: | 10.1109/ICICIP.2013.6568107 |