Dynamics of Bose-Einstein Condensates: Exact Representation and Topological Classification of Coherent Matter Waves

Figure 4

Dynamical evolution of MAWs for an attractive condensate with 𝑔=−1, 𝛿=50, 𝑐=1. For each ℎ∈(14.1321,1250.02), the curve defined by (8) in the phase space is corresponding to a MAW. The period 𝑇(ℎ) of amplitude 𝑅 is increasing with ℎ.

(a) The portrait of the amplitudes

(b) The portrait of the phases