In this paper, retaining high-frequency fields up to fourth order, the kinetic and hydrodynamic equations for the beat frequency interaction between longitudinal, transverse high-frequency fields and particles in low-frequency oscillation were derived from Vlasov-Maxwell equations. The results show that, in the case of one dimension, the large amplitude high order fields in sub-acoustic waves weaken the ponderomotive force which causes solitons. In three dimensions, it possibly makes the formation of cavitons slower.