TY - JOUR
T1 - Multi-Symplectic Method for the Zakharov-Kuznetsov Equation
AU - Li , Haochen
AU - Sun , Jianqiang
AU - Qin , Mengzhao
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 58
EP - 73
PY - 2018
DA - 2018/03
SN - 7
DO - http://doi.org/10.4208/aamm.2013.m128
UR - https://global-sci.org/intro/article_detail/aamm/10944.html
KW - 
AB - <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>