Conservative method for simulation of a high-order nonlinear Schrdinger equation with a trapped term  

作　　者：蔡加祥 柏传志 秦志林 

机构地区：[1]School of Mathematical Science,Huaiyin Normal University

出　　处：《Chinese Physics B》2015年第10期26-30,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 11271195);the Qing Lan Project of Jiangsu Province,China

摘　　要：We propose a new scheme for simulation of a high-order nonlinear Schrodinger equation with a trapped term by using the mid-point rule and Fourier pseudospectral method to approximate time and space derivatives, respectively. The method is proved to be both charge- and energy-conserved. Various numerical experiments for the equation in different cases are conducted. From the numerical evidence, we see the present method provides an accurate solution and conserves the discrete charge and energy invariants to machine accuracy which are consistent with the theoretical analysis.We propose a new scheme for simulation of a high-order nonlinear Schrodinger equation with a trapped term by using the mid-point rule and Fourier pseudospectral method to approximate time and space derivatives, respectively. The method is proved to be both charge- and energy-conserved. Various numerical experiments for the equation in different cases are conducted. From the numerical evidence, we see the present method provides an accurate solution and conserves the discrete charge and energy invariants to machine accuracy which are consistent with the theoretical analysis.

关 键 词：Schrodinger equation Fourier pseudospectral method conservation law fast Fourier transform 

分 类 号：O175.29[理学—数学]