Figure 15

Three-soliton solution (52) with the parameters \(r_{1}=1\), \(r_{2}=-1\), \(r_{3}=\frac{1}{2}\), \(r_{2}=-\frac{1}{2}\), \(\lambda_{1}=-4\), \(\lambda_{2}=-3\), \(\lambda _{3}=-2\), \(\lambda_{4}=-1\) when \(N=2\). (a) Exact solution; (b) Time evolution using exact solution (52) as an initial condition; (c) Time evolution using exact solution (52) perturbed by a 20% noise as the initial condition