Theory and Modern Applications
Table 4 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 | RLW equation ( p  = 2) | MRLW equation ( p  = 3) | ||||
|---|---|---|---|---|---|---|
\(\boldsymbol {\mathcal{I}_{1}}\) | \(\boldsymbol {\mathcal{I}_{2}}\) | \(\boldsymbol {\mathcal {I}_{3}}\) | \(\boldsymbol {\mathcal{J}_{1}}\) | \(\boldsymbol {\mathcal{J}_{2}}\) | \(\boldsymbol {\mathcal{J}_{3}}\) | |
T = 0 | 12.533141 | 9.0394281 | 33.822820 | 12.533141 | 9.0394281 | 5.2036174 |
T = 2 | 12.533141 | 9.0394599 | 33.823003 | 12.533141 | 9.0394430 | 5.2037832 |
T = 4 | 12.533141 | 9.0394331 | 33.823012 | 12.533141 | 9.0393901 | 5.2041213 |
T = 6 | 12.533141 | 9.0393867 | 33.823027 | 12.533141 | 9.0392994 | 5.2046997 |
T = 8 | 12.533141 | 9.0393237 | 33.823048 | 12.533141 | 9.0391822 | 5.2054479 |
T = 10 | 12.533141 | 9.0392517 | 33.823072 | 12.533141 | 9.0390559 | 5.2062565 |