| 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. |
| 关键词: Hamiton系统 Preissmann格式 多辛理论 ZK-BBM方程 |
| DOI： |
| 分类号:O29 |
| 基金项目:云南省教育厅基金资助(2013Y106). |
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| MULTI-SYMPLECTIC PREISSMANN METHODS FOR ZK-BBM EQUATION |
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WANG Jun-jie1,2, WANG Lian-tang2
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1.Department of Mathematics, Pu'er University, Pu'er 665000, China;2.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. |
| Key words: Hamilton space Preissmann method multi-symplectic theory ZK-BBM equation |
