Nonlinear coupling of electrostatic waves in magnetized plasmas

Abstract
The most general low-frequency electrostatic plasma response to the high-frequency upper-hybrid oscillations is obtained. Accounting for the relativistic electron mass variation and the ponderomotive force nonlinearities, a pair of coupled nonlinear equations are derived. The latter describe the coupling of the high- and low-frequency potential oscillations in magnetized plasmas. Localized envelope wave packets are found in limiting cases. The importance of the relativistic mass variation nonlinearity is examined.

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