| 组合KdV-mKdV方程的多辛Fourier拟谱格式 |
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| 引用本文： | 王志焕,黄浪扬.组合KdV-mKdV方程的多辛Fourier拟谱格式[J].华侨大学学报(自然科学版),2011(4):471-474. |
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| 作者姓名： | 王志焕 黄浪扬 |
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| 作者单位： | 华侨大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目(10901074) |
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| 摘 要： | 基于Hamilton空间体系下的多辛理论,提出组合KdV-mKdV方程的一个多辛方程组.通过离散此方程组,得到原方程的一个多辛Fourier拟谱格式,以及格式的全离散多辛守恒律.由数值结果可知,多辛Fourier拟谱格式能很好地模拟孤立波运动的波形,不出现振荡现象,且在空间方向具有较高的精度和收敛阶.
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| 关 键 词： | 组合KdV-mKdV方程 多辛方程组 Fourier拟谱格式 数值模拟 |
Multi-Symplectic Fourier Pseudo-Spectral Scheme for the Combined KdV-mKdV Equation |
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| WANG Zhi-huan,HUANG Lang-yang.Multi-Symplectic Fourier Pseudo-Spectral Scheme for the Combined KdV-mKdV Equation[J].Journal of Huaqiao University(Natural Science),2011(4):471-474. |
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| Authors: | WANG Zhi-huan HUANG Lang-yang |
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| Institution: | WANG Zhi-huan,HUANG Lang-yang(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China) |
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| Abstract: | Based on the multi-symplectic theory in Hamilton space,a multi-symplectic systems for the combined KdV-mKdV equation is proposed.By discreting the systems,a multi-symplectic Fourier pseudo-spectral scheme is obtained.We also obtain the full-discrete multi-symplectic conservation laws for the scheme.Numerical experiments show that the multi-symplectic Fourier pseudo-spectral scheme can well simulate the motion of the soliton,and does not appear oscillation phenomena with high accuracy and convergence order i... |
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| Keywords: | combined KdV-mKdV equation multi-symplectic systems fourier pseudo-spectral scheme numerical simulating |
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