Sinc Collocation Method for Solving the Benjamin-Ono Equation

Table 1

Invariants and errors for a single soliton of the BO equation. 𝑘₁=0.3, 𝜙₁=0, 𝑁=200, 𝛿𝑡=0.001, 𝜃=1/2, and 𝑥∈[−100,100].

Time	𝐿∞	𝐿2	𝐼1	𝐼2	𝐼3	CPU(s)
0	0	0	12.3007	7.5397	10.1788	0.000
10	3.3754𝐸−5	7.6966𝐸−5	12.3007	7.5397	10.1788	0.810
30	6.0085𝐸−5	1.8419𝐸−4	12.3008	7.5397	10.1788	2.098
50	8.5661𝐸−5	3.0307𝐸−4	12.3008	7.5397	10.1788	3.605
70	1.1471𝐸−4	4.5713𝐸−4	12.3008	7.5397	10.1788	5.505
90	1.5029𝐸−4	6.5433𝐸−4	12.3008	7.5397	10.1788	7.499
110	1.9803𝐸−4	9.3644𝐸−4	12.3008	7.5397	10.1788	9.931