中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100203-100203.doi: 10.1088/1674-1056/24/10/100203
蔡加祥, 柏传志, 秦志林
Cai Jia-Xiang (蔡加祥), Bai Chuan-Zhi (柏传志), Qin Zhi-Lin (秦志林)
摘要: We propose a new scheme for simulation of a high-order nonlinear Schrödinger 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.
中图分类号: (Numerical simulation; solution of equations)