Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrodinger Equation  

作　　者：Shanshan Jiang Lijin Wang Jialin Hong 

机构地区：[1]College of Science,Beijing University of Chemical Technology,Beijing 100029,P.R.China [2]School of Mathematical Sciences,Graduate University of Chinese Academy of Sciences,Beijing 100049,P.R.China [3]State Key Laboratory of Scientific and Engineering Computing,Institute of ComputationalMathematics and Scientific/Engineering Computing,Academy of Mathematics and System Science,Chinese Academy of Sciences,P.O.Box 2719,Beijing 100190,P.R.China

出　　处：《Communications in Computational Physics》2013年第7期393-411,共19页计算物理通讯（英文）

基　　金：supported by the NNSFC(No.11001009);supported by the Director Foundation of GUCAS,the NNSFC(No.11071251);supported by the Foundation of CAS and the NNSFC(No.11021101,No.91130003).

摘　　要：In this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations,and develop a stochastic multisymplectic method for numerically solving a kind of stochastic nonlinear Schrodinger equations.It is shown that the stochasticmulti-symplecticmethod preserves themultisymplectic structure,the discrete charge conservation law,and deduces the recurrence relation of the discrete energy.Numerical experiments are performed to verify the good behaviors of the stochastic multi-symplectic method in cases of both solitary wave and collision.

关 键 词：Stochastic nonlinear Schrodinger equations stochasticmulti-symplectic Hamiltonian systems multi-symplectic integrators 

分 类 号：O17[理学—数学]