@Article{CiCP-14-393, author = {}, 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 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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.230212.240812a}, url = {http://global-sci.org/intro/article_detail/cicp/7165.html} }