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Table 2 Conserved quantities (Scheme 2: bright soliton, \(\pmb{A=0.5}\) , \(\pmb{\lambda=0.5}\) , \(\pmb{v=0.5}\) )

From: Conservative finite difference schemes for the chiral nonlinear Schrödinger equation

t \(\boldsymbol{I_{1}}\) \(\boldsymbol{I_{2}}\) \(\boldsymbol{I_{3}}\) \(\boldsymbol{I_{4}}\) \(\boldsymbol{L_{\infty}}\) \(\boldsymbol{L_{2}}\)
0 1.414214 1.413993 2.945836 3.045932 - -
5 1.414214 1.413987 2.945828 3.045922 0.00034 0.00202
10 1.414214 1.413974 2.945806 3.045896 0.00082 0.00458
15 1.414214 1.413946 2.945758 3.045843 0.00198 0.01076
20 1.414214 1.413840 2.945557 3.045633 0.00480 0.02582