  We present two new families of stationary solutions for equations of
Bose-Fermi mixtures with an elliptic function potential with modulus $k$. We
also discuss particular cases when the quasiperiodic solutions become periodic
ones. In the limit of a sinusoidal potential ($k\to 0$) our solutions model a
quasi-one dimensional quantum degenerate Bose-Fermi mixture trapped in optical
lattice. In the limit $k\to 1$ the solutions are expressed by hyperbolic
function solutions (vector solitons). Thus we are able to obtain in an unified
way quasi-periodic and periodic waves, and solitons. The precise conditions for
existence of every class of solutions are derived. There are indications that
such waves and localized objects may be observed in experiments with cold
quantum degenerate gases.
