Collapsing-caviton turbulence in one dimension

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Abstract
A statistical theory of strong Langmuir turbulence based on self-similarly collapsing cavitons is tested in one spatial dimension by study of the solutions of a set of nonlinear equations which includes, as a special case, the Zakharov equations. Single-caviton solutions exhibiting predicted self-similar collapse are verified numerically for special initial conditions. Multiple-caviton systems are studied over many generations of collapse. Long-time–averaged spectra do not contain the power-law inertial regime predicted by the theory because of nucleation at small scales.