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Volume 7, Issue 1
Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

Haochen Li, Jianqiang Sun & Mengzhao Qin

DOI: 10.4208/aamm.2013.m128

Adv. Appl. Math. Mech., 7 (2015), pp. 58-73.

Published online: 2018-03

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  • 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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@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} }
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 -

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.

Li , HaochenSun , Jianqiang and Qin , Mengzhao. (2018). Multi-Symplectic Method for the Zakharov-Kuznetsov Equation. Advances in Applied Mathematics and Mechanics. 7 (1). 58-73. doi:10.4208/aamm.2013.m128
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