| MSPRK Methods for the Korteweg-de Vries Equation |
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| 作者姓名： | 张凯 刘宏宇 张然 |
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| 作者单位： | Institute of Mathematics Jilin University，Changchun，130012，Department of Mathematics，The Chinese University of Hong Kong，Shatin，N.T.，Hong Kong，Institute of Mathematics，Jilin University，Changchun，130012 |
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| 基金项目： | The NNSF (10471054) of China
the China Postdoctoral Science Foundation and the Youth Foundation of Institute of Mathematics, Jilin University. |
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| 摘 要： | We consider the Korteweg-de Vries (KdV) equation in the form ut+uux+uxxx=0(1) which is a nonlinear hyperbolic equation and has smooth solutions for all the time. There are a vast of results can be found in the literature for this equation, both theoretical and numerical. However, several good reasons account for needs of another numerical study of this equation are listed in1]. Among them, the most convincing one might be that the wave equations have the multi-symplectic structure (cf. 2]), and the KdV equation is therefore a
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