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Nonlinear adiabatic electron plasma waves: I. General theory and nonlinear frequency shift

Nonlinear adiabatic electron plasma waves: I. General theory and nonlinear frequency shift

This paper provides a complete self-consistent nonlinear theory for electron plasma waves, within the framework of the adiabatic approximation. The theory applies whatever the variations of the wave amplitude provided that they are slow enough, and it is also valid when the plasma is inhomogeneous and non-stationary. Moreover, it accounts …