一类DGH方程新多辛Fourier拟谱方法  

New multi-symplectic Fourier pseudospectral method for a class of DGH equation

作　　者：戴红兵 王俊杰 蔡姗姗 后圆圆 DAI Hong-bin;WANG Jun-jie;CAI Shan-shan;HOU Yuan-yuan(School of Mathematics and Statistics,Pu Er University,Pu Er,665000,China)

机构地区：[1]普洱学院数学与统计学院

出　　处：《兰州理工大学学报》2020年第1期162-166,共5页Journal of Lanzhou University of Technology

基　　金：云南省科学研究基金(2015Y490)

摘　　要：基于Hamilton空间体系的多辛理论研究了DGH方程的数值解法,利用Fourier拟谱方法构造了DGH方程的多辛格式,该格式满足多辛守恒律.数值算例结果表明该多辛离散格式具有较好的长时间数值稳定性.A numerical solution method of DGH equation was studied based on multi-symplectic theory in Hamilton space system.The multi-symplectic format of DGH equation was constructed with Fourier pseudospectral method and this format met the multi-symplectic conservation law.It was shown by the result of a numeric computation example that this multi-symplectic discrete format would have a better numeric value stability for a long time.

关 键 词：Hamiton系统 FOURIER拟谱方法 多辛算法 DGH方程 

分 类 号：O29[理学—应用数学]