  Collective flows of protons and $\pi^{-}$-mesons are studied at the momenta
of 4.2, 4.5 and 10 AGeV/c for p(C, Ta) and He(Li, C) interactions. The data
were obtained from the streamer chamber (SKM-200-GIBS) and from the Propane
Bubble Chamber (PBC-500) systems utilized at JINR. The method of Danielewicz
and Odyniec has been employed in determining the directed transverse flow of
particles. The values of the transverse flow parameter and the strength of the
anisotropic emission were defined for each interacting nuclear pair. It is
found that the directed flows of protons and pions decrease with increase of
the energy and the mass numbers of colliding nucleus pairs. The $\pi^{-}$-meson
and proton flows exhibit opposite directions in all studied interactions, and
the flows of protons are directed in the reaction plane. The Ultra-relativistic
Quantum Molecular Dynamical Model (UrQMD), enlarged by the Statistical
Multi-fragmentation Model (SMM), satisfactorily describes obtained experimental
results.
