A new scheme for the Zakharov-Kuznetsov (ZK) equation with the accuracy
order of O(∆t2+∆x+∆y2) 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 ZakharovKunetsov
equation is investigated by the new multi-symplectic scheme. The accuracy
of the scheme is analyzed.