We present nonlinear perturbative (quasilinear) solutions of a Newtonian pressureless medium, in a flat cosmological background, including both compressible and rotation modes. Solutions are presented in physical space up to second order, thus showing the couplings between compressional and rotational modes. We also present the particle path derived from the quasilinear solution thus putting the Zel'dovich approximation in a general setting