非线性Pochhammer-Chree方程的多辛Fourier拟谱算法  

Multi-symplectic Fourier Pseudospectral Algorithm for Nonlinear Pochhammer-Chree Equation

作　　者：黄浪扬[1] 

机构地区：[1]华侨大学数学系,福建泉州362021

出　　处：《漳州师范学院学报（自然科学版）》2007年第1期36-41,共6页Journal of ZhangZhou Teachers College（Natural Science)

基　　金：福建省自然科学基金计划资助项目(Z0511029)

摘　　要：对非线性Pochhammer-Chree方程作正则变换,得到它的一个多辛方程组,并用多辛Fourier拟谱方法离散此方程组,得到了非线性Pochhammer-Chree方程的多辛Fourier拟谱格式,同时得到格式的离散多辛守恒律.数值实验验证了所构造格式的有效性.By canonical transformation, multi-symplectic systems for nonlinear Pochhammer-Chree equation was obtained. Using multi-symplectic Fourier pseudo- spectral method to the multi-symplectic systems, a multi-symplectic Fourier pseudo-spectral scheme was constructed. At the same time, we also got the full- discrete multi-symplectic conservation laws for the scheme. Numerical experiments show that the scheme constructed in this paper is effective.

关 键 词：多辛方程组 FOURIER拟谱格式 非线性POCHHAMMER-CHREE方程 多辛守恒律 

分 类 号：O241.82[理学—计算数学]