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| 非线性"Good"Boussinesq方程的显式多辛格式 | |
| 引用本文： | 黄浪扬. 非线性"Good"Boussinesq方程的显式多辛格式[J]. 华侨大学学报(自然科学版), 2011, 32(1): 100-102 |
| 作者姓名： | 黄浪扬 |
| 作者单位： | 华侨大学,数学科学学院,福建,泉州,362021 |
| 基金项目： | 国家自然科学基金资助项目(10901074); 福建省自然科学基金资助项目(Z0511029) |
| 摘 要： | 对非线性"Good" Boussinesq方程的一个多辛方程组进行数值离散,导出方程的离散多辛守恒律,得到一个与此数值离散方法等价的,新的7点显式多辛格式.通过孤立波的数值模拟试验表明,所构造格式既能很好地模拟单孤立波运动的波形,又能很好地模拟双孤立波的碰撞过程,可有效地模拟原孤立波的时间演化,具有长时间的数值稳定性. |
| 关 键 词： | 非线性'Good'Boussinesq方程 多辛方程组 显式多辛格式 多辛守恒律 孤立波试验 |
Explicit Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation |
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| HUANG Lang-yang. Explicit Multi-Symplectic Scheme for Nonlinear "Good" Boussinesq Equation[J]. Journal of Huaqiao University(Natural Science), 2011, 32(1): 100-102 | |
| Authors: | HUANG Lang-yang |
| Affiliation: | HUANG Lang-yang (School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
| Abstract: | By discretizing the multi-symplectic systems of the nonlinear Good Boussinesq equation,we have derived the discretized multi-symplectic conservation laws.A new seven-point explicit multi-symplectic scheme which is equivalent to the discretized method is obtained.It is showen that the scheme constructed in this paper has excellent long-time numerical behavier by numerical experiments. |
| Keywords: | nonlinear Good Boussinesq equation multi-symplectic systems explicit multi-symplectic scheme multi-symplectic conservation laws solitary wave experiments |
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