Theory and Modern Applications
Table 3 Invariants for single soliton of MRLW 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 | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol {\mathcal{J}_{1}}\) | \(\boldsymbol {\mathcal{J}_{2}}\) | \(\boldsymbol {\mathcal {J}_{3}}\) | \(\boldsymbol {\mathcal{J}_{1}}\) | \(\boldsymbol {\mathcal{J}_{2}}\) | \(\boldsymbol {\mathcal{J}_{3}}\) | |
T = 0 | 7.9999950 | 5.5997821 | 2.0584499 | 7.9999950 | 5.5997821 | 2.0584499 |
T = 4 | 7.9999950 | 5.5998333 | 2.0586695 | 7.9999950 | 5.5997884 | 2.0584982 |
T = 8 | 7.9999950 | 5.5998850 | 2.0588246 | 7.9999950 | 5.5997947 | 2.0585311 |
T = 12 | 7.9999950 | 5.5999359 | 2.05886249 | 7.9999950 | 5.5998002 | 2.0585384 |
T = 16 | 7.9999950 | 5.5998258 | 2.0598310 | 7.9999950 | 5.5996448 | 2.0595023 |