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This paper considers longitudinal electrostatic waves in electron-hole plasma of semiconductors taking into account degeneration of the electrons and holes, and exchange interaction. In the frameworks of the linear theory it was found that dispersion curve of the longitudinal waves has two branches–plasmon and acoustic ones. An expression for the critical cutoff frequency for plasma oscillations and expression for sound speed of acoustic oscillations are found. The authors show that the plasma wave always exists in the form of superposition of two components. These components have different period and wavelength. Two non-linear solutions are obtained in the frameworks of non-linear theory. One solution has a form of simple superposition of two tones; another — the form of beats. Физика и техника полупроводников, 2017, том 51, вып. 1

Двухтоновые нелинейные электростатические волны в квантовой электронно-дырочной плазме полупроводников