Abstract—
The head on collision (HoC) of two electron acoustic shock wave in cylindrical/spherical geometries having kappa-distributed hot electrons is investigated. Extended Poincare–Lighthill–Kuo (PLK) method and weighted residual approach was applied for this problem in a fruitful manner to find approximate small-amplitude solutions of the nonplanar system, which are rare in literature. Adopting these methods, it is shown that the dynamics of interaction of shock waves depends significantly on the geometry factor m. The influence of relevant physical parameters such as superthermal distribution of electrons, kinematic viscosity, and density ratio on the phase shifts of the shock structure is examined. The findings suggest that shock interactions are distinct from those of solitons. It is also observed that the dispersion and dissipation of the colliding nonlinear structure have a combined role in the occurrence and modification of trajectory variations.
Similar content being viewed by others
REFERENCES
R. L. Tokar and S. P. Gary, Geophys. Res. Lett. 11, 1180 (1984).
R. Pottelette, R. E. Ergun, R. A. Treumann, M. Berthomier, C. W. Carlson, J. P. McFadden, and I. Roth, Geophys. Res. Lett. 26, 2629 (1999).
S. V. Singh and G. S. Lakhina, Planet. Space Sci. 49, 107 (2001).
G. Karlstad, J. Trulsen, and R. J. Armstrong, in Proceedings of the 1984 International Conference on Plasma Physics, Lausanne, 1984, Vol. 2, p. 12.
M. Surrendra and D. B. Graves, Phys. Rev. Lett. 66, 1469 (1991).
A. A. Mamun and P. K. Shukla, J. Geophys. Res. 107, 1135 (2002).
T. S. Gill, H. Kaur, and N. S. Saini, Chaos, Solitons Fractals 30, 1020 (2006).
T. S. Gill, H. Kaur, S. Bansal, N. S. Saini, and P. Bala, Eur. Phys. J. D 41, 151 (2007).
S. Sultana, I. Kourakis, and M. A. Hellberg, Plasma Phys. Control. Fusion 54, 105016 (2012).
S. Devanandhan, S. V. Singh, G. S. Lakhina, and R. Bharuthram, Commun. Nonlinear Sci. Numer. Simul. 22, 1322 (2015).
S. Bansal, M. Aggarwal, and T. S. Gill, J. Astrophys. Astron. 39, 27 (2018).
S. S. Ghosh, A. Sen, and G. S. Lakhina, Nonlinear Processes Geophys. 9, 463 (2002).
S. S. Ghosh, A. Sen, and G. S. Lakhina, IEEE Trans. Plasma Sci. 32, 1367 (2004).
A. Sen, S. S. Ghosh, and G. S. Lakhina, Phys. Scr. 2004, 176 (2004).
T. S. Gill, C. Bedi, and A. S. Bains, Phys. Plasmas 16, 032111 (2009).
C. Bedi and T. S. Gill, Phys. Plasmas 19, 062109 (2012).
S. Bansal, M. Aggarwal, and T. S. Gill, Braz. J. Phys. 48, 638 (2018).
V. M. Vasyliunas, J. Geophys. Res. 73, 2839 (1968).
G. Gloeckler, J. Geiss, H. Balsiger, P. Bedini, J. C. Cain, J. Fisher, L. A. Fisk, A. B. Galvin, F. Gliem, D. C. Hamilton, J. V. Hollweg, F. M. Ipavich, R. Joos, S. Livi, R. A. Lundgren, et al., Astron. Astrophys., Suppl. Ser. 92, 267 (1992).
E. E. Antonova and N. O. Ermakova, Adv. Space Res. 42, 987 (2008).
M. Shahmansouri, Pramana 80, 295 (2013).
S. Bansal, M. Aggarwal, and T.S. Gill, Eur. Phys. J. D 74, 236 (2020).
T. S. Gill and S. Bansal, Chaos, Solitons Fractals 147, 110953 (2021).
S. I. Kopnin, D. V. Shokhrin, and S. I. Popel, Plasma Phys. Rep. 48, 141 (2022).
P. Harvey, C. Durniak, D. Samsonov, and G. Morfill, Phys. Rev. E 81, 057401 (2010).
P. Eslami, M. Mottaghizadeh, and H. R. Pakzad, Astrophys. Space Sci. 338, 271 (2012).
M. K. Ghorui, P. Chatterjee, and R. Roychoudhury, Indian J. Phys. 87, 77 (2013).
J. N. Han, J. X. Li, J. X. Gu, Z. H. Han, and Y. G. Nan, Eur. Phys. J. D 68, 340 (2014).
E. F. El-Shamy and A. M. Al-Asbali, Phys. Plasmas 21, 093701, (2014).
N. S. Saini, K. Singh, and P. Sethi, Laser Part. Beams 667, 6679085 (2021).
H. Demiray and E.R. El-Zaher, Results Phys. 18, 103293 (2020).
S. Bansal, M. Aggarwal, and T.S. Gill, Phys. Plasmas 27, 083704 (2020).
W. Masood and A. Mushtaq, Phys. Plasmas 15, 022306 (2008).
S. K. EL-Labany, E. F. EL-Shamy, and M. G. El-Mahgoub, Astrophys. Space Sci. 339, 195 (2012).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
CONFLICT OF INTEREST
The authors declare that they have no conflicts of interest.
DATA AVAILABILITY STATEMENT
The data that supports the findings of this study is available within the article.
Rights and permissions
About this article
Cite this article
Bansal, S., Gill, T.S. Interaction of Nonplanar Electron–Acoustic Shock Waves with Superthermal Hot Electrons. Plasma Phys. Rep. 48, 1217–1225 (2022). https://doi.org/10.1134/S1063780X22100117
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X22100117