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Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

Multi-Symplectic Method for the Zakharov-Kuznetsov Equation
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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

Keywords:   

Author Details

Haochen Li

Jianqiang Sun

Mengzhao Qin

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