[en] We study the behavior of the Jackiw-Pi solitons in an external electromagnetic field composed of an electric field E=(mβ/4e)x and a uniform magnetic field B=mω/e. Explicit time-dependent solutions are presented. The solitons move in a limited region when β/ω²<1, and periodic solutions require that β/ω² takes specific discrete values. The period may be an arbitrary integer times that in the pure magnetic field. When β/ω²≥1 the solitons will go to infinity with their sizes increasing linearly (β/ω²=1) or exponentially (β/ω²>1) with time. The center of mass of the soliton moves in the same way as a classical charged particle in the same electromagnetic field regardless of β and ω. Semiclassical quantization is performed in the case of periodic motion