Table 2 Errors and invariants for a single solitary wave with $\mathit{c}\mathbf{=}\mathbf{1}$ , $\mathit{h}\mathbf{=}\mathbf{0.2}$ , $\mathit{k}\mathbf{=}\mathbf{0.025}$ , $\mathbf{0}\mathbf{\le }\mathit{x}\mathbf{\le }\mathbf{100}$ , at $\mathit{t}\mathbf{=}\mathbf{10}$

Method

${\mathit{I}}_{\mathbf{1}}$

${\mathit{I}}_{\mathbf{2}}$

${\mathit{I}}_{\mathbf{3}}$

${\mathit{L}}_{\mathbf{2}}\times {\mathbf{10}}^{\mathbf{3}}$

${\mathit{L}}_{\mathbf{\infty }}\times {\mathbf{10}}^{\mathbf{3}}$