@Article{CiCP-21-93,
author = {Chuchu Chen, Jialin Hong, Lihai Ji and Linghua Kong},
title = {A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations},
journal = {Communications in Computational Physics},
year = {2018},
volume = {21},
number = {1},
pages = {93--125},
abstract = {<p style="text-align: justify;">In this paper, we propose a compact scheme to numerically study the coupled
stochastic nonlinear Schrödinger equations. We prove that the compact scheme
preserves the discrete stochastic multi-symplectic conservation law, discrete charge
conservation law and discrete energy evolution law almost surely. Numerical experiments
confirm well the theoretical analysis results. Furthermore, we present a detailed
numerical investigation of the optical phenomena based on the compact scheme. By
numerical experiments for various amplitudes of noise, we find that the noise accelerates
the oscillation of the soliton and leads to the decay of the solution amplitudes with
respect to time. In particular, if the noise is relatively strong, the soliton will be totally
destroyed. Meanwhile, we observe that the phase shift is sensibly modified by the
noise. Moreover, the numerical results present inelastic interaction which is different
from the deterministic case.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.300815.180416a},
url = {http://global-sci.org/intro/article_detail/cicp/11233.html}
}