  We study the topological phase of bright soliton with arbitrary velocity
under the self-steepening effect. Such topological phase can be described by
the topological vector potential and effective magnetic field. We find that the
point-like magnetic fields corresponds to the density peak of such bright
solitons, where each elementary magnetic flux is {\pi}. Remarkably, we show
that two bright solitons can generate an additional topological field due to
the phase jump between them. Our research provided the possibility to use
bright solitons to explore topological properties.

Pattern Formation and Solitons