The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method

Table 9

Invariant values for the interaction of two negative solitary waves over the region 0≤𝑥≤120.

𝑡	Present method			[9]
	𝐶1	𝐶2	𝐶3	𝐶1	𝐶2	𝐶3
0	−45.035	336.232	−1077.82	−45.034960	336.96020	−1077.824
4	−45.035	336.328	−1077.97	−45.035000	334.25310	−1048.6640
8	−45.035	336.014	−1068.16	−45.035080	332.98740	−1041.3070
12	−45.035	336.172	−1077.67	−45.035100	334.45920	−1048.8220
16	−45.035	336.295	−1077.80	−45.035110	334.23630	−1048.8480
20	−45.049	336.284	−1077.67	−45.035060	334.52330	−1048.7200