Abstract
The nonlinear response theory approach is developed to study the nonlinear phenomena in non-ideal Coulomb systems. The nonlinear phenomena such as plasma wave echo and waves transformation have been investigated under non-ideal Coulomb system conditions based on a variant of the nonlinear response theory. Some general restrictions on the values of nonlinear response functions are considered. The model for the determination of quadratic response functions is presented. The conditions for experimental realization of the mentioned phenomena in non-ideal plasma are examined. It is shown that ultra-short field pulses can induce these phenomena.