Sinc Collocation Method for Solving the Benjamin-Ono Equation

Table 2

Invariants and errors for interaction of two solitons of the BO equation. 𝑘₁=0.4, 𝑘₂=0.1, 𝜙₁=30, 𝜙₂=0, 𝑁=200, 𝛿𝑡=0.001, 𝜃=1/2, and 𝑥∈[−100,100].

Time	𝐿∞	𝐿2	𝐼1	𝐼2	𝐼3	CPU(s)
0	0	0	24.0123	12.5716	16.7526	0.000
1	1.0200𝐸−4	1.4299𝐸−4	24.0124	12.5716	16.7526	0.278
30	2.7172𝐸−4	8.2385𝐸−4	24.0124	12.5716	16.7526	1.833
60	4.0996𝐸−4	1.4813𝐸−3	24.0124	12.5716	16.7526	3.854
90	5.6586𝐸−4	2.1770𝐸−3	24.0124	12.5716	16.7526	7.016
120	6.8573𝐸−4	2.9978𝐸−3	24.0124	12.5716	16.7526	8.961
150	8.5960𝐸−4	4.2343𝐸−3	24.0124	12.5716	16.7526	11.351
180	2.1269𝐸−3	6.6914𝐸−3	24.0124	12.5716	16.7526	14.142
210	3.1148𝐸−3	9.6304𝐸−3	24.0124	12.5716	16.7526	16.748