Year: 2015
Author: Haochen Li, Jianqiang Sun, Mengzhao Qin
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2013.m128
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 58–73
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16