No abstract

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 timeis 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.