This work was supported by the Fundamental Research Funds for the Central Universities(Nos.2018ZY14,2019ZY20 and 2015ZCQ-LY-01);Beijing Higher Education Young Elite Teacher Project(YETP0769);the National Natural Science Foundation of China(Grant Nos.61571002,61179034 and 61370193).
In this paper,symplectic schemes and symmetric schemes are presented to simulate Nonlinear Schrodinger Equation(NLSE)in case of dark soliton motion.Firstly,by Ablowitz–Ladik model(A–L model),the NLSE is discretized...