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

  • M. S. Alam
  • M. R. TalukderEmail author
General and Applied Physics
  • 15 Downloads

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 Poincaré-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.

Keywords

Collisionless plasma Pair ions IASWs ePLK method Phase shift Soliton solution 

Notes

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Copyright information

© Sociedade Brasileira de Física 2019

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of RajshahiRajshahiBangladesh
  2. 2.Plasma Science and Technology Lab, Department of Applied Physics and Electronic EngineeringUniversity of RajshahiRajshahiBangladesh
  3. 3.Department of MathematicsChittagong University of Engineering and TechnologyChittagongBangladesh

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