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• W2989049701 abstract "Abstract The variational principle is used to construct a multi-symplectic structure of the generalized KdV-type equation. Accordingly, the local energy conservation law, the local momentum conservation law, and the Cartan form of the generalized KdV-type equation are given. An explicit multi-symplectic scheme for the generalized KdV equation based on the Fourier pseudo-spectral method and the symplectic Euler scheme is constructed. Through a numerical examination, the explicit multi-symplectic Fourier pseudo-spectral scheme for the generalized KdV equation not only preserve the discrete global energy conservation law and the global momentum conservation law with high accuracy, but show long-time numerical stability as well." @default.
• W2989049701 created "2019-11-22" @default.
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• W2989049701 date "2019-11-04" @default.
• W2989049701 modified "2023-10-15" @default.
• W2989049701 title "Multi-symplectic integrator of the generalized KdV-type equation based on the variational principle" @default.
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• W2989049701 doi "https://doi.org/10.1038/s41598-019-52419-8" @default.
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