An Efficient Numerical Method for the Quintic Complex Swift-Hohenberg Equation  

作　　者：Hanquan Wang Lina Yanti 

机构地区：[1]School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming,Yunnan Province,650221,P.R.China [2]Department of Mathematics,National University of Singapore,117543,Singapore

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2011年第2期237-254,共18页高等学校计算数学学报（英文版）

基　　金：supported in part by the Ministry of Education of Singapore grant No.R-146-000-120-112;the National Natural Science Foundation of China grant No.10901134.

摘　　要：In this paper,we present an efficient time-splitting Fourier spectral method for the quintic complex Swift-Hohenberg equation.Using the Strang time-splitting technique,we split the equation into linear part and nonlinear part.The linear part is solved with Fourier Pseudospectral method;the nonlinear part is solved analytically.We show that the method is easy to be applied and second-order in time and spectrally accurate in space.We apply the method to investigate soliton propagation,soliton interaction,and generation of stable moving pulses in one dimension and stable vortex solitons in two dimensions.

关 键 词：Quintic complex Swift-Hohenberg equation time-splitting Fourier pseudospectral method numerical simulation SOLITON 

分 类 号：O17[理学—数学]