中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70206-070206.doi: 10.1088/1674-1056/21/7/070206
钱旭, 宋松和, 高二, 李伟斌
Qian Xu(钱旭)†, Song Song-He(宋松和), Gao Er(高二), and Li Wei-Bin(李伟斌)
摘要: We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov--Kuznetsov equation. The method is is to combine 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.
中图分类号: (Partial differential equations)