Volume 14, Issue 2
Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

Shanshan Jiang, Lijin Wang & Jialin Hong

Commun. Comput. Phys., 14 (2013), pp. 393-411.

Published online: 2014-08

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  • Abstract

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 Schrödinger equations. Itis shown thatthe stochastic multi-symplectic method preservesthe multisymplectic 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.


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@Article{CiCP-14-393, author = {Shanshan Jiang, Lijin Wang and Jialin Hong}, title = {Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation}, journal = {Communications in Computational Physics}, year = {2014}, volume = {14}, number = {2}, pages = {393--411}, abstract = {

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 Schrödinger equations. Itis shown thatthe stochastic multi-symplectic method preservesthe multisymplectic 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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.230212.240812a}, url = {http://global-sci.org/intro/article_detail/cicp/7165.html} }
TY - JOUR T1 - Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation AU - Shanshan Jiang, Lijin Wang & Jialin Hong JO - Communications in Computational Physics VL - 2 SP - 393 EP - 411 PY - 2014 DA - 2014/08 SN - 14 DO - http://dor.org/10.4208/cicp.230212.240812a UR - https://global-sci.org/intro/cicp/7165.html KW - AB -

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 Schrödinger equations. Itis shown thatthe stochastic multi-symplectic method preservesthe multisymplectic 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.


Shanshan Jiang, Lijin Wang & Jialin Hong. (1970). Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation. Communications in Computational Physics. 14 (2). 393-411. doi:10.4208/cicp.230212.240812a
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