supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 61672013);the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.201606)
Local structure-preserving algorithms including multi-symplectic, local energy- and momentum-preserving schemes are proposed for the generalized Rosenau-RLW-KdV equation based on the multi-symplectic Hamiltonian formu...
Project supported by the National Natural Science Foundation of China(Grant Nos.11201169 and 11271195);the Qing Lan Project of Jiangsu Province,China
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, respec...
supported by the National Natural Science Foundation of China(Grant Nos.11201169,11271195,and 41231173);the Project of Graduate Education Innovation of Jiangsu Province,China(Grant No.CXLX13 366)
A local energy conservation law is proposed for the Klein--Gordon-Schrrdinger equations, which is held in any local time-space region. The local property is independent of the boundary condition and more essential tha...
supported by the National Natural Science Foundation of China (Grant Nos. 11201169 and 11271195);the National Basic Research Program of China (Grant No. 2010AA012304);the Natural Science Foundation of Jiangsu Education Bureau,China (Grant Nos. 10KJB110001 and 12KJB110002);the Qing Lan Project of Jiangsu Province of China
We derive a new method for a coupled nonlinear Schr/Sdinger system by using the square of first-order Fourier spectral differentiation matrix D1 instead of traditional second-order Fourier spectral differentiation mat...