Nonlinear behavior of electron acoustic waves in an un-magnetized plasma

Abstract

The nonlinear electron acoustic wave, which is found in the earth’s magnetosphere by satellite observations, is studied analytically by Lagrangian fluid description. The basic linear mode is observed in a two temperature electron species plasma where ions form stationary charge neutral background. We have obtained nonlinear description of this mode, which depends on both time and space. A possible solution shows a soliton like structure, which is localized in space, and the amplitude increases with time in the absence of dispersion. Small dispersive correction, however, shows spread of the solution in space. This method can be generalized to study the nonlinear behavior of a general class of multispecies plasma.

Experimental observation of electron-acoustic wave propagation in laboratory plasma

“…As n eh > n ec in our experiment the mass of the cold electrons is increased and they behave like a heavier species. This mode is basically an analog to ion acoustic wave where cold electrons play the role of ions providing the effective inertia and hot electrons provide the pressure for sustaining the wave 5,9 . The solution of the normalized ω r from Eqn.…”

“…Further analysis of the Vlasov equation numerically 4 revealed another class of solutions in the intermediate frequency range. It is generally known as electron-acoustic wave (EAW) and character-wise analogous to IAW 5 . The experimental observation of EAW along with its propagation characteristics is the subject matter of this article.…”

Nonlinear interaction of electron acoustic waves with Langmuir waves in presence of magnetic field in plasmas

“…v c << ω/k << v h . In this limit, the Landau damping of EAW can be ignored (Yu and Shukla 1983;Gary and Tokar 1985;Infeld and Rowland 1989;Kourakis and Shukla 2004;Dutta et al 2011).…”

Cylindrical and spherical electron-acoustic Gardner solitons and double layers in a two-electron-temperature plasma with nonthermal ions

“…The effects of arbitrary amplitude EA SWs and electron acoustic double layers (EA DLs) in a plasma consisting of cold electrons, superthermal hot electrons, and stationary ions have been considered by Sahu [22]. The EA SWs in a two electron temperature plasma where ions form stationary charge neutral background has been observed by Dutta [23]. El Wakil et al [24] considered cold electrons, nonthermal hot electrons, and station ary ions, and studied the nonlinear properties of EA SWs by using time fractional Korteweg-de Vries (KdV) equation.…”