## Abstract: Proton flow in Pb + Pb collisions at 40 $A$.GeV

We study the side-ward and elliptic differential flow of protons for Pb+Pb collisions at 40 A$\\cdot$GeV energies in a microscopic relativistic transport simulation model. The calculation of flow results are compared with the recent data from the NA49 Collaboration as a function of transverse momenta, rapidity and centrality. It is found that the results without potential explains the side-ward flow qualitatively well and with potential favors the elliptic flow reasonably good with the experimental data.