@Article{AAMM-7-1,
author = {Li, Haochen and Sun, Jianqiang and Qin, Mengzhao},
title = {Multi-Symplectic Method for the Zakharov-Kuznetsov Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {1},
pages = {58--73},
abstract = {<p style="text-align: justify;">A new scheme for the Zakharov-Kuznetsov (ZK) equation with the accuracy
order of $\mathcal{O}(∆t^2+∆x+∆y^2)$ is proposed. The multi-symplectic conservation property
of the new scheme is proved. The backward error analysis of the new multi-symplectic
scheme is also implemented. The solitary wave evolution behaviors of the Zakharov-Kunetsov
equation are investigated by the new multi-symplectic scheme. The accuracy
of the scheme is analyzed.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m128},
url = {https://global-sci.com/article/73383/multi-symplectic-method-for-the-zakharov-kuznetsov-equation}
}