Multi-SymplecticMethod for the Zakharov-Kuznetsov Equation  

作　　者：Haochen Li Jianqiang Sun Mengzhao Qin 

机构地区：[1]Department of Mathematics,College of Information Science and Technology,Hainan University,Hainan 570228,China [2]School of Mathematical Science,Nanjing Normal University,Jiangsu 210023,China [3]LSEC,Academy of Mathematics and System Sciences,Chinese Academy of Science,Beijing 100190,China

出　　处：《Advances in Applied Mathematics and Mechanics》2015年第1期58-73,共16页应用数学与力学进展（英文）

基　　金：supported by the National Natural Science Foundation of China(No.11161017,11071251 and 11271195);the Natural Science Foundation of Hainan Province(114003);the Priority Academic Program Development of Jiangsu Higher Education Institutions.

摘　　要：A newscheme for the Zakharov-Kuznetsov(ZK)equationwith the accuracy order of 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 newmulti-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.

关 键 词：The Zakharov-Kuznetsov equation multi-symplectic method backward error analysis. 

分 类 号：O17[理学—数学]