广义非线性Schrdinger方程的多辛格式与模方守恒律  

Multi-symplectic Scheme and Norm Conserving Law of Generalized Nonlinear Schrdinger Equation

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：《计算物理》2009年第5期693-698,共6页Chinese Journal of Computational Physics

基　　金：福建省自然科学基金(项目编号:Z0511029)资助项目

摘　　要：通过正则变换,构造出广义非线性Schrdinger方程的多辛方程组.对此多辛方程组,导出了一个新的模方守恒多辛格式.数值实验结果表明,多辛格式具有长时间的数值行为,且在保持模方守恒律方面优于蛙跳格式和辛欧拉中点格式.Multi-symplectic system for generalized nonlinear Schrdinger equation is constructed by canonical transformation.A new norm conserving multi-symplectic scheme is derived.Numerical experiments show that the multi-symplectic scheme shows excellent long-time numerical behavior and preserves norm conserving law better than both leap-frog scheme and symplectic Euler middle scheme.

关 键 词：广义非线性Schrdinger方程 多辛方程组 守恒律 多辛格式 数值实验 

分 类 号：O241.82[理学—计算数学]