The transverse momentum distributions of Λ's and proton's directed flows are investigated by using Quantum Molecular Dynamics model (QMD) within the framework of covariant kaon dynamics. The calculated results show that the transverse momentum distribution of differential directed flow of Lambda hyperons is dependent appreciably on the nuclear matter equation of states (EOS). The differential directed flow of Lambda hyperons calculated with soft EOS is consistent with the experimental data,whereas the discrepancy between the results obtained with hard EOS and experimental data increases with increasing the transverse momentum. Although the interaction acting on Λ's by nucleons in the dense medium is attractive,the analysis indicates,that the transverse momentum distribution of proton's directed flow is insensitive to the EOS. The results obtained with both hard and soft EOS are all roughly in agreement with the corresponding data.
