Coupled localized electron-plasma waves and oscillatory ion-acoustic perturbations

Abstract

The equations describing the coupling of high‐frequency electrostatic waves with ion fluctuations allow stationary one‐dimensional localized solutions which have not been reported previously. It is shown that these solutions follow from scaling laws different from those known for sonic Langmuir solitons, but similar to those used for static ion response. The present treatment generalizes the theory for subsonic Langmuir solitons by consistently including the second harmonic contribution in the low‐frequency response. The physical importance of the new solutions is discussed.