Brazilian Journal of Physics

, Volume 47, Issue 3, pp 295–301 | Cite as

Oblique Interaction of Ion-Acoustic Solitary Waves in e-p-i Plasmas

  • Tapas Kumar Maji
  • Malay Kumar Ghorui
  • Asit Saha
  • Prasanta Chatterjee
General and Applied Physics

Abstract

In this study, we investigate the oblique collision of two ion-acoustic waves (IAWs) in a three-species plasma composed of electrons, positrons, and ions. We use the extended Poincare-Lighthill-Kuo (PLK) method to derive the two-sided Korteweg-de-Vries (KdV) equations and Hirota’s method for soliton solutions. The effects of the ratio (δ) of electron temperature to positron temperature and the ratio (p) of the number density of positrons to that of electrons on the phase shift are studied. It is observed that the phase shift is significantly influenced by the parameters mentioned above. It is also observed that for some time interval during oblique collision, one practically motionless composite structure is formed, i.e., when two ion-acoustic waves with the same amplitude interact obliquely, a new non-linear wave is formed during their collision, which means that ahead of the colliding ion-acoustic solitary waves, both the amplitude and width are greater that those of the colliding solitary waves. As a result, the nonlinear wave formed after collision is a new one and is delayed. The oblique collision of solitary waves in a two-dimensional geometry is more realistic in high-energy astrophysical pair plasmas such as the magnetosphere of neutron stars and black holes.

Keywords

Oblique collision PLK method Hirota method Solitary wave Phase shift 

Notes

Acknowledgments

We would like to express our deep thanks to the referee for his or her useful comments and suggestions which helped to improve the paper.

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Copyright information

© Sociedade Brasileira de Física 2017

Authors and Affiliations

  • Tapas Kumar Maji
    • 1
    • 2
  • Malay Kumar Ghorui
    • 1
  • Asit Saha
    • 3
  • Prasanta Chatterjee
    • 2
  1. 1.Department of MathematicsB.B. CollegeAsansolIndia
  2. 2.Department of Mathematics, Siksha BhavanaVisva Bharati UniversitySantiniketanIndia
  3. 3.Department of Mathematics, Sikkim Manipal Institute of TechnologySikkim Manipal UniversityRangpo, East-SikkimIndia

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