Explicit multi-symplectic method for the Zakharov-Kuznetsov equation  

作　　者：钱旭 宋松和 高二 李伟斌 

机构地区：[1]Department of Mathematics and Systems Science,College of Science,National University of Defense Technology

出　　处：《Chinese Physics B》2012年第7期43-48,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 10971226, 91130013, and 11001270);the National Basic Research Program of China (Grant No. 2009CB723802)

摘　　要：We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov-Kuznetsov equation. The method combines the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation.We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov-Kuznetsov equation. The method combines the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation.

关 键 词：multi-symplectic method Fourier pseudospectral method Euler method Zakharov-Kuznetsov equation 

分 类 号：O241.7[理学—计算数学]