Solitary waves with electron temperature inhomogeniety and shear flow in an electron ion magnetoplasma

Abstract

Electron temperature gradient (ETG) driven solitons are investigated having gradients in equilibrium electron temperature and equilibrium number density and with electron shear flow. In a linear regime, using model equations, a linear dispersion relation has been analysed analytically as well as numerically. ηe and electron to ion temperature ratio effects, real frequency, and growth rate of ETG instability are determined. In the nonlinear regime, the Korteweg--de Vries equation for the ETG mode has been derived and analysed numerically which shows that it admits solitary wave solutions. It can also be noted that soliton amplitude is sensitive to ηe, the magnetic field, and the temperature ratio. This work may be helpful for low frequency electrostatic modes in nonuniform electron-ion plasma having gradients in density and electron temperature and also in tokamak plasma.

Linear and nonlinear fluctuations of electron‐temperature‐gradient driven mode and electron acoustic mode in a two‐electron temperature nonthermal magnetized plasma

“…Intrinsically, plasma is nonuniform and nonlinear in behaviour, and the considerable variety of waves in a system gives outcome in the coherent structures like vortices, shocks, solitons, Mach cones, and so forth, which are vital for the transportation of mass, heat, and momentum. [20,23] Javaria et al [30] has investigated the formation of nonlinear structures like solitons. An extensively known reality is that Charney-Hasegawa-Mima (CHM) equations give stationary solutions in the form of vortex chain or a cats-eye vortex and dipolar vortex structure.…”

“…Figures 2 and 3and graphs are shown in Figures 4 and 5 by using Equation(30). These are the stable structures and aim here is to show the existence of the structures within auroral region of complex plasmas.…”