Propagation of local spatial solitons in power-law nonlinear PT-symmetric potentials based on finite difference

Hao Ji,Yinghong Xu,Chaoqing Dai,Lipu Zhang

Table 1. Maximum errors and convergence orders of the ADI scheme for Case 1 at z = 1.

Figure 1(a) m = 1, W0 = 0.012 Figure 2(a) m = 2, W0 = 0.120 h, τ L∞error Order CPU time L∞error Order CPU time $\tfrac{1}{20}$ 5.4174e–4 — 4.501 1.3605e–4 — 4.697 $\tfrac{1}{40}$ 1.3592e–4 1.995 39.651 3.4048e–5 1.998 42.549 $\tfrac{1}{80}$ 3.4318e–5 1.986 310.942 8.5199e–6 1.999 324.669