@Article{AAMM-9-6,
author = {Hao, Fu and Zhou, Weien and Xu, Qian and Songhe, Song},
title = {Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {6},
pages = {1383--1403},
abstract = {<p style="text-align: justify;">This paper introduces two novel conformal structure-preserving algorithms
for solving the coupled damped nonlinear Schrödinger (CDNLS) system, which are
based on the conformal multi-symplectic Hamiltonian formulation and its conformal
conservation laws. The proposed algorithms can preserve corresponding conformal
multi-symplectic conservation law and conformal momentum conservation law in any
local time-space region, respectively. Moreover, it is further shown that the algorithms
admit the conformal charge conservation law, and exactly preserve the dissipation
rate of charge under appropriate boundary conditions. Numerical experiments are presented
to demonstrate the conformal properties and effectiveness of the proposed
algorithms during long-time numerical simulations and validate the analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2016-0164},
url = {https://global-sci.com/article/73308/novel-conformal-structure-preserving-algorithms-for-coupled-damped-nonlinear-schrodinger-system}
}