@Article{JCM-36-4,
author = {Wang, Lan and Yushun, Wang},
title = {High Order Compact Multisymplectic Scheme for Coupled Nonlinear Schrödinger-KdV Equations},
journal = {Journal of Computational Mathematics},
year = {2018},
volume = {36},
number = {4},
pages = {591--604},
abstract = {<p style="text-align: justify;">In this paper, a novel multisymplectic scheme is proposed for the coupled nonlinear
Schrödinger-KdV (CNLS-KdV) equations. The CNLS-KdV equations are rewritten into
the multisymplectic Hamiltonian form by introducing some canonical momenta. To simulate
the problem efficiently, the CNLS-KdV equations are approximated by a high order
compact method in space which preserves $N$ semi-discrete multisymplectic conservation
laws. We then discretize the semi-discrete system by using a symplectic midpoint scheme
in time. Thus, a full-discrete multisymplectic scheme is obtained for the CNLS-KdV equations.
The conservation laws of the full-discrete scheme are analyzed. Some numerical
experiments are presented to further verify the convergence and conservation laws of the
new scheme.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1702-m2016-0789},
url = {https://global-sci.com/article/84485/high-order-compact-multisymplectic-scheme-for-coupled-nonlinear-schrodinger-kdv-equations}
}