Table 1 Conserved quantities (Scheme 1: 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 | 1.413988 | 2.945829 | 3.045923 | 0.00034 | 0.00202 |
10 | 1.414214 | 1.413975 | 2.945808 | 3.045898 | 0.00082 | 0.00458 |
15 | 1.414214 | 1.413948 | 2.945761 | 3.045846 | 0.00198 | 0.01076 |
20 | 1.414214 | 1.413842 | 2.945560 | 3.045636 | 0.00480 | 0.02581 |