广义Pochhammer-Chree方程的多辛Fourier拟谱格式及孤立波试验  

Multi-Symplectic Fourier Pseudo-Spectral Scheme for Generalized Pochhammer-Chree Equation and Solitary Wave Experiments

作　　者：黄浪扬[1] 

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2008年第3期468-471,共4页Journal of Huaqiao University(Natural Science)

基　　金：福建省自然科学基金计划资助项目(Z0511029)

摘　　要：通过变换,将广义Pochhammer-Chree(PC)方程转化为多辛形式的方程组.在空间方向利用Fourier拟谱方法,在时间方向利用Euler中点格式进行离散此方程组,得到广义PC方程的多辛Fourier拟谱格式及其离散多辛守恒律.孤立波的数值模拟试验验证所构造格式的有效性,以及广义PC方程的孤立波相互作用是非弹性的事实.The multi-symplectic systems for the generalized Pochhammer-Chree （PC） equation are obtained by transformation. A multi-symplectic Fourier pseudo-spectral scheme are constructed by means of a Fourier pseudo-spectral method in space and an Euler mid-point method in time, At the same time, we get the full-discrete multi-syrnplectic conservation laws for the scheme. Numerical experiments show that the scheme constructed in this paper is effective, and indicate that the interaction of these solitary waves is inelastic.

关 键 词：广义PC方程 多辛方程组 FOURIER拟谱格式 多辛守恒律 孤立波试验 

分 类 号：O241.82[理学—计算数学]