Extended Data Fig. 3: The family of soliton solutions.
From: Bloch oscillations of a soliton in a one-dimensional quantum fluid

Each ellipse corresponds to a given value of \(\tilde{N}\). Each point of an ellipse is a soliton with a given velocity u and a given Ω. During a Bloch oscillation the system follows a trajectory from the bottom of ellipse at the initial time to the top of the ellipse at the first turning point and then comes back to its initial position. The shaded area is the region where no solitonic solutions exist, corresponding to Ω < u2/4 − 1.