We map dilute or semidilute solutions of nonintersecting polymer chains ont
o a fluid of "soft" particles interacting via a concentration dependent eff
ective pair potential, by inverting the pair distribution function of the c
enters of mass of the initial polymer chains. A similar inversion is used t
o derive an effective wall-polymer potential; these potentials are combined
to successfully reproduce the calculated exact depletion interaction induc
ed by nonintersecting polymers between two walls. The mapping opens up the
possibility of large-scale simulations of polymer solutions in complex geom
etries.