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Figure 1 – uploaded by Manuel Mañas Baena
Figure 1 In figure 1 we plot a generic topological deformation of the bright 1-soliton of the focusing NLS equation. Figure 1. The topological deformation of the bright 1-soliton solution of the NLS for anomalous dispersion. Our data is €r = £; = p = |Go| = 1 and 5 = 0. The plots are taken for ¢ = 0 and in a co-moving frame of velocity —v. The two first graphs show the real and imaginary parts of the amplitude while the last one is the modulus of the amplitude. Observe the topological character of the solution in the two first plots. As this solution evolves in r a localized periodic modulation appears around x = 0 with period T = z/(a@a(u — v)).