NON-SELF-SIMILAR INERTIAL REGIMES OF THE SCALAR SUPERSONIC LANGMUIR COLLAPSE

The radially symmetric scalar model of the Zakharov equations is inves tigated in terms of undamped time-dependent collapsing solutions defin ed for space dimensions larger than a critical value. The low-frequenc y perturbation is shown to have a finite mass, and is explicitly time- integrated as a function of the Langmuir wave mass density. The Langmu ir wave solution is found to be constituted of a self-similar part, an d of a non-self-similar tail, whose respective spatial extents are bou nded in space.