Figure 10

Collisions of two-soliton solutions \(\widetilde{u}_{n}\) and \(\widetilde{v}_{n}\) in (50) with \(N=1\) via the parameters \(r_{1}=-1\), \(r_{2}=1\), \(\lambda_{1}=-2\), \(\lambda_{2}=-3\). (a) Exact solution; (b) Time evolution using exact solution as an initial condition; (c) Time evolution using exact solution perturbed by a 2% noise as the initial condition