@Article{AAMM-7-58, author = {Li , HaochenSun , Jianqiang and Qin , Mengzhao}, title = {Multi-Symplectic Method for the Zakharov-Kuznetsov Equation}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {1}, pages = {58--73}, abstract = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m128}, url = {http://global-sci.org/intro/article_detail/aamm/10944.html} }