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 2. Maximum errors and convergence orders of the ADI scheme for Case 2 at z = 1.

Figure 3(a) m = 1, W0 = 0.066 Figure 4(a) m = 2, W0 = 0.022 h, τ L∞error Order CPU time L∞error Order CPU time $\tfrac{1}{20}$ 5.3701e–4 — 4.521 8.7541e–5 — 4.754 $\tfrac{1}{40}$ 1.3471e–4 1.995 42.528 2.1691e–5 2.013 45.050 $\tfrac{1}{80}$ 3.4013e–5 1.986 324.258 5.3926e–6 2.008 345.450