  An exact analytical solution to the one-dimensional compressible Euler
equations in the form of a nonlinear simple wave is obtained. Instead of the
well-known Riemann solution, the explicit dependence on the arbitrary initial
fields for that solution and for its time of collapse is stated. For the super
threshold dissipation coefficient the regularization of the solution over an
unlimited time interval is justified. Based on this solution of the Euler
equations, an exact explicit and closed description of single-point and
multi-point characteristics of turbulence in a compressible medium are
obtained. The exact turbulence energy universal spectrum with power-law -8/3
corresponding to the time of the shock arising is stated, which is, rather than
the spectrum with power-law -2, relevant to the strong acoustic turbulence
theory of Kadomtsev and Petviashvili (1973). Installed, that spectrum is
matched with the observed turbulence spectrum in the magnetosheath and solar
wind. The observed plasma mirror modes nonlinear mechanism arising out
corresponding to this spectrum, is established. This mechanism, in turn, is
associated with the formation of localized clusters of charged particles whose
motion is described by a slow simple wave.
