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

Table 8

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

𝑡	Present method			[9]
	𝐶1	𝐶2	𝐶3	𝐶1	𝐶2	𝐶3
0	37.9165	120.480	744.081	37.916520	120.52280	744.0815
4	37.9170	120.471	743.984	37.911700	121.16020	736.9443
8	37.9172	120.445	743.676	37.859750	119.73170	728.51730
12	37.9173	120.203	740.702	37.696670	119.63340	725.72360
16	37.9174	120.230	741.050	37.529160	119.41850	725.83940
20	37.9174	120.441	743.654	37.647300	119.80410	727.19480
25	37.9175	120.462	743.918	38.050100	119.83550	727.439200