Planar and nonplanar ion-acoustic envelope solitary waves in a very dense electron-positron-ion plasma

Abstract

Abstract. Ion-acoustic envelope solitary waves in a very dense plasma comprised of the electrons, positrons and ions are investigated. For this purpose, the quantum hydrodynamic model and the Poisson equation are used. A modified nonlinear Schrödinger equation is derived by employing the reductive perturbation method. The effects of the quantum correction and of the positron density on the propagation and stability of the envelope solitary waves are examined. The nonplanar (cylindrical/spherical) geometry gives rise to an instability period. The latter cannot exist for planar case and it affected by the quantum parameters, as well as the positron density. The present investigation is relevant to white dwarfs. PACS. 52.27.Cm Multicomponent and negative-ion plasmas -52.35.Fp Electrostatic waves and oscillations (e.g., ion-acoustic waves) -52.35.Mw Nonlinear phenomena: waves, wave propagation, and other interactions

Spherical and Cylindrical Ion Acoustic Solitary Waves in Electron-Positron-Ion Plasmas with Non-Maxwellian Electrons and Positrons

“…Javidan [39] has derived the cylindrical and spherical KdV equation for ion acoustic solitary waves in e-p-i plasmas using kappa distribution. Only few investigations have been reported on the study of nonplanar ion acoustic solitary waves in e-p-i plasmas [40][41][42] , is derived for small but finite amplitude ion-acoustic waves in cylindrical geometry in a collisionless unmagnetized plasma with kappa distributed electrons, thermal positrons, and cold ions. Electron-positron (e-p) pairs exist in the plasmas emanating both from the pulsars and from the inner region of the accretion discs surrounding the central black hole in active galactic nuclei [44][45][46].…”

“…A number of works has been carried out to study the linear and nonlinear behaviors of waves in e-p and e-p-i plasmas over the last few years [55][56][57][58][59]. Based on Maxwellian assumption, many authors have been studied the propagation of ion acoustic waves in electron-positron-ion plasmas [60][61][62][63].…”

Magnetosonic cylindrical soliton in electron-positron-ion plasma

“…A brief review of these works is given in the book by Infeld and Rowlands (1990). A number of papers (Jehan et al 2007;Masood et al 2008;Khan et al 2009;Sabry et al 2009) are known for featuring the peculiarities of cylindrical ion-acoustic solitons in non-magnetized epi-plasma. The cylindrical ion-acoustic solitons are specific electrostatic structures and equations for dynamics of each plasma fraction are bound with each other via Poisson equation.…”

Modulational instability of ion-acoustic wave packets in quantum pair-ion plasmas

“…ties in pair-ion plasmas (see, e.g., Hasegawa and Shukla 2005;Cramer and Yung 1986;Misra 2009;Samanta and Misra 2009). Such plasmas are believed to be ubiquitous in most space and laboratory plasmas (Amemiya et al 1999;Franklin 2002).…”

“…The system's evolution is then governed through the modulational instability (MI). A number of works can be found in the literature to study the MI in various quantum plasma systems (e.g., see Misra and Shukla 2007, 2008a, 2008bSabry et al 2009;Misra et al 2009). …”