| Explicit multi-symplectic method for the Zakharov—Kuznetsov equation |
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| 引用本文： | 钱旭,宋松和,高二,李伟斌. Explicit multi-symplectic method for the Zakharov—Kuznetsov equation[J]. 中国物理 B, 2012, 21(7): 70206-070206. DOI: 10.1088/1674-1056/21/7/070206 |
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| 作者姓名： | 钱旭 宋松和 高二 李伟斌 |
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| 作者单位： | Department of Mathematics and Systems Science, College of Science, National University of Defense Technology |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant Nos. 10971226, 91130013, and 11001270） and the National Basic Research Program of China （Grant No. 2009CB723802）. |
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| 摘 要： | We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov-Kuznetsov equation. The method combines the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation.
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| 关 键 词： | multi-symplectic method Fourier pseudospectral method Euler method Zakharov– Kuznetsov equation |
| 收稿时间： | 2011-11-30 |
Explicit multi-symplectic method for the Zakharov-Kuznetsov equation |
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| Qian Xu,Song Song-He,Gao Er,Li Wei-Bin. Explicit multi-symplectic method for the Zakharov-Kuznetsov equation[J]. Chinese Physics B, 2012, 21(7): 70206-070206. DOI: 10.1088/1674-1056/21/7/070206 |
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| Authors: | Qian Xu Song Song-He Gao Er Li Wei-Bin |
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| Affiliation: | Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov--Kuznetsov equation. The method is is to combine the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation. |
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| Keywords: | multi-symplectic method Fourier pseudospectral method Euler method Zakharov--Kuznetsov equation |
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