The equation for the propagation of the long-wave signals of finitely valued amplitude in the soft agricultural soils during their interaction with working organs of the soil’s treated machines of vibrate-wave action is obtained. The coefficient of the nonlinearity of the saturation of the pore’s media is calculated. The comparative contribution of the nonlinear effects and of the dissipative, as well, which are attributed to relative motion of media’s components, is researched. The behavior of the relatively little amplitude of perturbation, which propagates as a shock-wave, is discussed at this work. According to this approach, the coefficient of nonlinearity for the saturated pore media is calculated. The stationary and no stationary regimes of the perturbation propagation are described just for the situation when the nonlinearity is balanced by the relaxation viscosity and appears with the help of the impulse change between the phases. For the wide range of the soil’s characteristic parameters, the account of the nonlinear components in the waves of the no large amplitude is principal. The approach of this work gives one the possibility for the consistent indication of the boundaries for the linear approximation and the relative role of nonlinear and dissipative and dispersion components at the wave equation
modeling, analysis, wave over the amplitude of the soft soil, agriculture, communication, working bodies tillage machines, vibration and wave action