We　present　several　previously　unexplored　chi((3))　nonlinear　laser　effects　under　picosecond　excitation　in　LuVO4　and　YbVO4.　Among　them　high-order　Stokes　and　anti-Stokes　generation　related　to　discovered　SRS-promoting　vibration　modes,　with　the　manifestations　of　cross-cascaded　chi((3))　＜-＞　chi((3))　lasing　processes　involving　new　SRS-active　phonons.　All　recorded　spectral　components　of　many-phonon　chi((3))-nonlinear　generation　were　identified　and　attributed　to　the　vibrations　of　the　(VO4)(3-)　structural　units　of　the　studied　vanadates.　(C)　2012　by　Astro,　Ltd.