| IMBq方程的多辛格式及其守恒律 |
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| 引用本文： | 郭峰. IMBq方程的多辛格式及其守恒律[J]. 华侨大学学报(自然科学版), 2005, 26(4): 343-345 |
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| 作者姓名： | 郭峰 |
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| 作者单位： | 华侨大学数学系,福建泉州362021 |
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| 基金项目： | 华侨大学科研基金资助项目（04HZR08） |
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| 摘 要： | 考虑非线性IMBq方程的多辛Hamilton形式，通过消去中间变量，得到新的等价于多辛Preissman积分的格式．发现它具有多辛守恒律、局部能量守恒律及局部动量守恒律，最后以数值例子验证其有效性．
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| 关 键 词： | IMBq方程 多辛 守恒律 非线性 Hamilton形式 |
| 文章编号： | 1000-5013（2005）04-0343-03 |
| 收稿时间： | 2005-01-07 |
| 修稿时间： | 2005-01-07 |
Multi-Symplectic Scheme for IMBq Equation and the Conservation Laws to Which It Subjects |
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| Guo Feng. Multi-Symplectic Scheme for IMBq Equation and the Conservation Laws to Which It Subjects[J]. Journal of Huaqiao University(Natural Science), 2005, 26(4): 343-345 |
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| Authors: | Guo Feng |
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| Abstract: | In consideration of multi-symplectic Hamiltonian formulation for the nonlinear IMBq equation, by eliminating intermediate variables, the author gets a new scheme which is equivalent to the multi-symplectic Preissman integrator. Scheme subjects to conservation laws of multic-symplecticity, local energy and local momentum. Finally, its effectiveness is verified by numerical example. |
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| Keywords: | IMBq equation multi-symplecticity conservation law nonlinear Hamiltonian formulation |
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