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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