@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 = {<p style="text-align: justify;">In this paper we propose stochastic multi-symplectic conservation law for stochastic Hamiltonian partial differential equations, and develop a stochastic multi-symplectic method for numerically solving a kind of stochastic nonlinear Schrödinger equations. It is shown that the stochastic multi-symplectic method preserves the multi-symplectic 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.</p><p><br/></p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.230212.240812a},
url = {http://global-sci.org/intro/article_detail/cicp/7165.html}
}