Shocks in multicomponent cylindrical and spherical Lorentzian plasmas

Variety of the cosmic plasmas: General variable-coefficient Korteweg-de Vries-Burgers equation with experimental/observational support

“…-Plasmas are known as the most abundant form of matter in the Universe [1][2][3][4][5][6][7]. Nowadays, with respect to the cosmic plasmas, considerable efforts have been put into investigating the experimentally relevant Korteweg-de Vries (KdV)-Burgers-type equations [8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

“…3) A modified KdV-Burgers equation for the magnetosonic waves in a three-fluid weakly viscous plasma, where u is the first-order perturbation of the magnitude of the magnetic field [10], with experimental evidence of the positrons in the active galactic nuclei [26,27], magnetospheres of pulsars [28,29], supernova remnants [30], gamma-ray bursts [31], early Universe [32] and solar flares [33,34]. 4) A modified KdV-Burgers equation for the cylindrical and spherical ion-acoustic waves in an unmagnetized, dissipative, superthermal electron-positronion plasma, where u is the first-order normalized ion density [11], with experimental evidence for the electronpositron-ion plasmas to exist in the early Universe, active galactic nuclei and magnetospheres of neutron stars [28,29]. 5) A cylindrical KdV-Burgers equation for the magnetoacoustic waves in a two-fluid collisionless and dissipative electron-ion magneto-plasma, where u is the first-order normalized radial-direction component of the velocity of ions [12], with experimental evidence of the magnetosonic waves responsible for particle acceleration in the Earth's magnetosphere and plasma heating in the solar atmosphere [12].…”

Nonlinear Electron Acoustic Waves in Dissipative Plasma with Superthermal Electrons

“…As the shock and soliton waves in plasma offer a rich physical insight underlying the nonlinear phenomena, studying these types of waves are of particular interest for many researchers (Mamun and Shukla 2009;Samanta et al 2013;Hussain et al 2013;Tribeche and Bacha 2013). The nonlinear electron-acoustic solitary and shock waves have been tested in laboratory devices when the plasma consisted of two temperature electrons, referred to as hot and cold electrons (Ikezawa and Nakamura 1981;Watanabe and Taniuti 1977).…”