非线性Pochhammer-Chree方程的多辛Preissmann格式  

Multi-Symplectic Preissmann Scheme for the 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：《河南师范大学学报（自然科学版）》2005年第4期13-16,共4页Journal of Henan Normal University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(Z0511029)

摘　　要：提出非线性Pochhammer-Chree方程的多辛方程组及其守恒律,并通过辛离散多辛方程组得到一个等价于中心Preissmann积分的新的15点多辛格式.数值试验结果表明:本文所给出的多辛格式是有效的,它具有良好的长时间数值行为.The multi-symplectic system and conservation law of the nonlinear Pochhammer-Chree equation are presented. By using symplectie discretizations for the multi-symplectic system, a new fifteen-point multi-symplectic scheme which is equtvalent to the Preissmann integrator is obtained. The numerical experiments show that the multi-symplectic scheme constructed m this paper is effective, and which has excellent long-time numerical behavior.

关 键 词：非线性POCHHAMMER-CHREE方程 多辛Preissmann格式 守恒律 

分 类 号：O241.82[理学—计算数学]