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| SRLW方程的多辛Fourier谱格式及其守恒律 | |
| 引用本文： | 孔令华,曾文平,刘儒勋,孔令健.SRLW方程的多辛Fourier谱格式及其守恒律[J].计算物理,2006,23(1):25-31. |
| 作者姓名： | 孔令华 曾文平 刘儒勋 孔令健 |
| 作者单位： | 1. 中国科学技术大学数学系,安徽,合肥,230026 2. 华侨大学数学系,福建,泉州,362021 3. 博达公路有限公司,江西,赣州,341000 |
| 基金项目： | 中国科学院资助项目;中国科技大学校科研和教改项目;北京市重点实验室基金;国务院侨务办公室科研项目;国家重点实验室基金 |
| 摘 要： | 通过引进正则动量，将对称正则长波方程（简称SRLW方程）转化成多辛形式的方程组，它具有多辛守恒律；介绍了空间方向满足周期边界条件的函数的Fourier谱方法；对SRLW方程的多辛方程组在空间方向利用Fourer谱方法，时间方向上应用Euler中点格式离散，得到其多辛Fourier拟谱格式；证明此格式的一些离散守恒律．用此格式模拟了SRLW方程的单个孤立波，还模拟了多个孤立波的追赶、碰撞和分离过程． |
| 关 键 词： | 多辛格式 SRLW方程 Fourier拟谱格式 |
| 文章编号： | 1001-246X（2006）01-0025-07 |
| 收稿时间： | 2004-09-28 |
| 修稿时间： | 2005-04-04 |
A Multisymplectic Fourier Pseudo-spectral Scheme for the SRLW Equation and Conservation Laws |
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| KONG Ling-hua,ZENG Wen-ping,LIU Ru-xun,KONG Ling-jian.A Multisymplectic Fourier Pseudo-spectral Scheme for the SRLW Equation and Conservation Laws[J].Chinese Journal of Computational Physics,2006,23(1):25-31. | |
| Authors: | KONG Ling-hua ZENG Wen-ping LIU Ru-xun KONG Ling-jian |
| Institution: | 1. Math. Dept., University of Science and Technology of China, Hefei 230026, China ; 2. Math. Dept., Huaqiao Univ., Quanzhou 362021, China ; 3. Boda Highway Ltd., Ganzhou 341000, China |
| Abstract: | A multisympletic system for the symmetric regularized long wave(SRLW) equation is obtained with canconical momentum.The system satisfies the multisymplectic conservation law.A Fourier pseudo-spectral method which adapts to periodic boundary conditions in space is introduced.An Euler mid-point scheme in time and a Fourier pseudo-spactral method in space are used to the multisymplectic formulation of the SRLW equation.It makes a multisymplectic Fourier pseudo-spectral scheme.Several discrete conservation laws of this scheme are proved;Numerical experiments are performed to simulate the single soliton solution.The chase,collision and separation of multi-soliton solutions are simulated. |
| Keywords: | multisymplectic scheme SRLW equation Fourier pseudo-spectral scheme |
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