Figure 11

Collisions of three-soliton solutions \(\widetilde{u}_{n}\) and \(\widetilde{v}_{n}\) in (50) with \(N=2\) via the parameters \(r_{1}=1\), \(r_{2}=-1\), \(r_{3}=1/2\), \(r_{4}=-1/2\), \(\lambda_{1}=-3\), \(\lambda_{2}=-2\), \(\lambda_{3}=-3/2\), \(\lambda_{4}=-1\). (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