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Theory and Modern Applications

Table 2 Invariants for single soliton of RLW equation with \(\pmb{N=128}\) and \(\pmb{c=\frac{4}{3}}\)

From: A second-order Fourier pseudospectral method for the generalized regularized long wave equation

Time

Δ t  = 0.05

Δ t  = 0.025

\(\boldsymbol {\mathcal{I}_{1}}\)

\(\boldsymbol {\mathcal{I}_{2}}\)

\(\boldsymbol {\mathcal{I}_{3}}\)

\(\boldsymbol {\mathcal{I}_{1}}\)

\(\boldsymbol {\mathcal{I}_{2}}\)

\(\boldsymbol {\mathcal{I}_{3}}\)

T = 0

7.9999950

5.5997821

20.266666

7.9999950

5.5997821

20.266666

T = 4

7.9999950

5.5998333

20.266871

7.9999950

5.5997884

20.266692

T = 8

7.9999950

5.5998850

20.267078

7.9999950

5.5997947

20.266717

T = 12

7.9999950

5.5999359

20.267284

7.9999950

5.5998002

20.266743

T = 16

7.9999950

5.5998258

20.267490

7.9999950

5.5996448

20.266768