Project supported by the National Natural Science Foundation of China(Grant Nos.11271195,41231173,and 11201169);the Postdoctoral Foundation of Jiangsu Province of China(Grant No.1301030B);the Open Fund Project of Jiangsu Key Laboratory for NSLSCS(Grant No.201301);the Fund Project for Highly Educated Talents of Nanjing Forestry University(Grant No.GXL201320)
In this paper, we derive a new method for a nonlinear Schrodinger system by using the square of the first-order Fourier spectral differentiation matrix D1 instead of the traditional second-order Fourier spectral diffe...