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Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

Published online by Cambridge University Press:  09 January 2015

Haochen Li,
Jianqiang Sun and
Mengzhao Qin
Haochen Li
Affiliation:
Department of Mathematics, College of Information Science and Technology, Hainan University, Hainan 570228, ChinaSchool of Mathematical Science, Nanjing Normal University, Jiangsu 210023, China
Jianqiang Sun*
Affiliation:
Department of Mathematics, College of Information Science and Technology, Hainan University, Hainan 570228, China
Mengzhao Qin
Affiliation:
LSEC, Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100190, China
*
*Email:sunjq123@qq.com(J. Q. Sun)

Abstract

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A new scheme for the Zakharov-Kuznetsov (ZK) equation with the accuracy order of 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 is investigated by the new multi-symplectic scheme. The accuracy of the scheme is analyzed.

Keywords

65D17The Zakharov-Kuznetsov equationmulti-symplectic methodbackward error analysis

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 1 , February 2015, pp. 58 - 73
Copyright
Copyright © Global Science Press Limited 2015 

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