Head-on Collision of Ion-Acoustic Shock and Solitary Waves in Collisionless Plasma with Pair Ions and Electrons Article

Alam, MS, Talukder, MR. (2019). Head-on Collision of Ion-Acoustic Shock and Solitary Waves in Collisionless Plasma with Pair Ions and Electrons . BRAZILIAN JOURNAL OF PHYSICS, 49(2), 198-214. 10.1007/s13538-018-0605-5

cited authors

  • Alam, MS; Talukder, MR

authors

abstract

  • Unmagnetized collisionless plasma system consisting of positive and negative ions and electrons is considered to study the head-on collision of ion-acoustic shock and solitary waves (IASWs) and its effects on the formation of shock (monotonic and oscillatory) waves and phase shift. The soliton solution is derived from the two-sided Korteweg-de Vries Burger (KdVB) equations. The KdVB equations are obtained using extend PoincarĂ©-Lighthill-Kuo (ePLK) method. It is assumed that the negative ions are immobile and the electrons follow the Boltzmann energy distribution in the plasma. The effects of plasma parameters such as density ratios and kinematic viscosities on electrostatic shock profiles, phase shift, amplitudes, and formation of shock (monotonic and oscillatory) as well as on the soliton solution are investigated. It is found that the density ratio of negative to positive ions plays a vital role on the formation of shock waves and phase shift after collision.

publication date

  • April 15, 2019

published in

Digital Object Identifier (DOI)

start page

  • 198

end page

  • 214

volume

  • 49

issue

  • 2