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Table 3 Conserved quantities (Scheme 3: 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 3.045923 0.00034 0.00203
10 1.414214 1.413974 2.945807 3.045898 0.00082 0.00460
15 1.414214 1.413947 2.945759 3.045846 0.00198 0.01077
20 1.414214 1.413841 2.945558 3.045636 0.00480 0.02582