Abstract
The theory and observation of nonlinear wave coupling phenomena in solar-system plasmas are reviewed. Rocket and satellite observations have provided evidence of nonlinear wave interactions in space plasmas, in particular, in relation to the generation and propagation of radio waves in solar corona, interplanetary medium and Earth’s magnetosphere. These radio waves represent the electromagnetic signature of solar-terrestrial coupling and are useful for forecasting and monitoring of space weather. Nonlinear wave-wave coupling in plasmas can be modeled as a dynamical system of coupled oscillators involving one, two or higher-order wave triplets. For a three-wave dissipative system, the temporal transition from order to chaos may evolve via period doubling or intermittence. For a four-wave Hamiltonian system involving two coupled wave triplets, the spatiotemporal transition from order to chaos is analyzed using the concepts of stable and unstable homogeneous manifolds. Plasma dynamics is governed by a variety of wave motions resulting from the collective electrodynamic interactions involving plasma fields and plasma particles. Nonlinear wave-wave coupling in plasmas can occur due to the growth of parametric instabilities. In this paper, we present an overview of theoryand observation of nonlinear mode coupling in space plasmas. In §2 we discuss the theoryof nonlinear interaction involving a single wave triplet in the presence of source and dissipation. We consider the transition from order to low-dimensional temporal chaos. In § 3w e discuss the theoryof nonlinear interaction involving two wave triplets in the absence of source and dissipation. We treat the transition from order to high-dimensional spatiotemporal chaos. Before discussing the theorylet us first summarize some recent observational evidence of nonlinear wave-wave interactions in the solar system. Comprehensive reviews of this topic are given in Refs. 1) and 2). Radio waves provide the electromagnetic signature of solar-terrestrial relation and serve as a tool to forecast and monitor the space weather. The radio emis
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