Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term  

作　　者：Jialin Hong Linghua Kong 

机构地区：[1]State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and System Science,Chinese Academy of Sciences,P.O.Box 2719,Beijing 100190,China [2]School of Mathematics and Information Science,Jiangxi Normal University,Nanchang,Jiangxi 330022,China

出　　处：《Communications in Computational Physics》2010年第3期613-630,共18页计算物理通讯（英文）

基　　金：Jialin Hong is supported by the Director Innovation Foundation of ICMSEC and AMSS,the Foundation of CAS,the NNSFC(Nos.19971089,10371128 and 60771054);the Special Funds for Major State Basic Research Projects of China 2005CB321701;Linghua Kong is supported by the NSFC(No.10901074);the Provincial Natural Science Foundation of Jiangxi(No.2008GQS0054);the Foundation of Department of Education of Jiangxi Province(No.GJJ09147);the Young Growth Foundation of Jiangxi Normal University(No.2390);the Doctor Foundation of Jiangxi Normal University(No.2057);State Key Laboratory of Scientific and Engineering Computing,CAS.

摘　　要：The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplecticFourier spectral (MSFS) methods will be employed to solve the fourth-orderSchrodinger equations with trapped term. Using the idea of split-step numericalmethod and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-step multi-symplectic (SSMS) methods. The numerical experiments show that the proposed SSMS methods are more efficient than the conventionalmulti-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties.

关 键 词：Schrodinger equation with trapped term multi-symplectic scheme Fourier spectral method conservation law split-step method 

分 类 号：O17[理学—数学]