| 非线性Pochhammer-Chree方程的多辛Fourier拟谱算法 |
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| 引用本文： | 黄浪扬.非线性Pochhammer-Chree方程的多辛Fourier拟谱算法[J].漳州师范学院学报,2007,20(1):36-41. |
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| 作者姓名： | 黄浪扬 |
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| 作者单位： | 华侨大学数学系,福建泉州362021 |
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| 摘 要： | 对非线性Pochhammer-Chree方程作正则变换，得到它的一个多辛方程组，并用多辛Fourier拟谱方法离散此方程组，得到了非线性Pochhammer-Chree方程的多辛Fourier拟谱格式，同时得到格式的离散多辛守恒律．数值实验验证了所构造格式的有效性．
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| 关 键 词： | 多辛方程组 Fourier拟谱格式 非线性Pochhammer-Chree方程 多辛守恒律 |
| 文章编号： | 1008-7826（2007）01-0036-06 |
| 收稿时间： | 2006-06-10 |
| 修稿时间： | 2006年6月10日 |
Multi-symplectic Fourier Pseudospectral Algorithm for Nonlinear Pochhammer-Chree Equation |
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| HUANG Lang-yang.Multi-symplectic Fourier Pseudospectral Algorithm for Nonlinear Pochhammer-Chree Equation[J].Journal of ZhangZhou Teachers College(Natural Science),2007,20(1):36-41. |
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| Authors: | HUANG Lang-yang |
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| Institution: | Department of Math., Huaqiao University, Quanzhou, Fujian 362021, China |
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| Abstract: | By canonical transformation, multi-symplectic systems for nonlinear Pochhammer-Chree equation was obtained. Using multi-symplectic Fourier pseudo- spectral method to the multi-symplectic systems, a multi-symplectic Fourier pseudo-spectral scheme was constructed. At the same time, we also got the full- discrete multi-symplectic conservation laws for the scheme. Numerical experiments show that the scheme constructed in this paper is effective. |
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| Keywords: | multi-symplectic systems Fourier pseudospectral scheme nonlinear conservation laws |
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