The transport of a relativistic electron beam in dense plasmas with a cold retu electron current is examined by two-dimensional particle-in-cell simulation. The filamentation and coalescence of currents and related magnetic field pattes, caused by the electromagnetic-beam-plasma instability, are observed. In the later simulation time,the electrons of the relativistic electron beam are trapped into the potential wells of the wave excited by the instability, and transport resonantly with the wave.