Fig. 2
From: On quasi-integrable deformation scheme of the KdV system

Numerical solutions \(u_d\) for the deformation \(u^3\rightarrow u^{3+3\varepsilon }\). The localized and parity-even soliton for \(\varepsilon =0\) (a) gets significantly distorted (b–d) even for small values of \(\varepsilon\). They remain fairly localized suggesting possible asymptotic conservation. These plots are evaluated at time \(t=1\).