带三次非线性项的四阶Schrdinger方程的分裂多辛算法(英文)  

Split-step Multisymplectic Integrator for Fourth-order Schrdinger Equation with Cubic Nonlinear Term

作　　者：孔令华[1] 曹莹[1] 王兰[1] 万隆[2] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022 [2]南昌师范高等专科学校自然科学系,江西南昌330029

出　　处：《计算物理》2011年第5期730-736,共7页Chinese Journal of Computational Physics

基　　金：National Natural Science Foundation of China(10901074);Provincial Natural Science Foundation of Jiangxi(2008GQS0054);Postgraduate Innovation Foundation of Jiangxi Normal University(YJS2010009)

摘　　要：对一类带三次非线性项的四阶Schrdinger方程提出分裂多辛格式。其基本思想是将多辛算法和分裂方法相结合,既具有多辛格式固有的保多辛几何结构的特性,又发挥了分裂方法在计算上灵活高效的特点。数值实验结果表明,分裂多辛格式比其它传统的多辛格式更节约计算时间和计算机的内存,从而更加优越.A split-step muhisymplectic scheme is proposed for a kind of fourth-order Schr（idinger equations with cubic nonlinear term. The basic idea is to combine multisymplectic integrator with split-step method. The method not only preserves muhisymplectic structure of multisymplectic integrators, but also has the virtue of efficiency and flexibility of split-step method in computation. Numerical experiments show that the split-step muhisymplectic method is more economic in computational time and computer memory than traditional multisymplectie integrator.

关 键 词：四阶NSL方程 多辛格式 分裂方法 

分 类 号：O241.82[理学—计算数学]