| ZK-BBM方程的多辛Preissmann格式 |
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| 引用本文： | 王俊杰,王连堂.ZK-BBM方程的多辛Preissmann格式[J].数学杂志,2014,34(6):1116-1124. |
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| 作者姓名： | 王俊杰 王连堂 |
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| 作者单位： | 普洱学院数学系;西北大学数学系; |
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| 基金项目： | 云南省教育厅基金资助(2013Y106) |
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| 摘 要： | 本文研究一类非线性ZK-BBM方程的初值问题.利用Hamilton系统的多辛Preissmann方法,获得ZK-BBM方程初值问题的数值结果,数值结果表明该多辛离散格式具有较好的长时间数值稳定性.
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| 关 键 词： | Hamiton系统 Preissmann格式 多辛理论 ZK-BBM方程 |
| 收稿时间： | 2012/8/30 0:00:00 |
| 修稿时间： | 2013/10/30 0:00:00 |
MULTI-SYMPLECTIC PREISSMANN METHODS FOR ZK-BBM EQUATION |
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| WANG Jun-jie and WANG Lian-tang.MULTI-SYMPLECTIC PREISSMANN METHODS FOR ZK-BBM EQUATION[J].Journal of Mathematics,2014,34(6):1116-1124. |
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| Authors: | WANG Jun-jie and WANG Lian-tang |
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| Institution: | Department of Mathematics, Pu''er University, Pu''er 665000, China;Department of Mathematics, Northwest University, Xi''an 710127, China and Department of Mathematics, Northwest University, Xi''an 710127, China |
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| Abstract: | In the paper, we consider a initial value problem of ZK-BBM, a typical nonlinear wave equation. Using multi-symplectic Preissmann method in Hamilton space, we obtain the numerical results of the initial value problem of ZK-BBM. The numerical experiment of the solitary wave is given, and the results verify the efficiency of the multi-symplectic scheme. |
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| Keywords: | Hamilton space Preissmann method multi-symplectic theory ZK-BBM equation |
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