Electron acoustic soliton interactions in multicomponent plasma in the presence of suprathermal electrons and positrons

D Dutta
Anandaram Dhekial Phookan College, RRB Road, South Haibargaon, Nagaon, Assam – 782 002, India

Dedicated to Prof P K Kaw

The interactions of electron-acoustic solitons [1] in collision-less, unmagnetized plasma composed of suprathermal electrons, suprathermal positrons, and cold inertial electrons have been studied. The suprathermal electrons and positrons follow kappa-distribution. The KdV equation has been derived with the help of reductive perturbation method, which is solved by Hirota’s bilinear method [2] to get the multi-soliton solutions. The impact of the plasma parameters on the nature of the solitons have been studied. It is found that the amplitude of the soliton increases with an increased value of κ (suprathermal parameter). In the case of two solitons, the interaction of the two solitons as well as the effect of suprathermal parameters on the phase shift of the two solitons have been studied. These results can be used to understand the formation and interaction of electron acoustic solitons in different space and atmospheric environments. © Anita Publications. All rights reserved.
Doi: 10.54955/AJP.34.3-4.2025.201-209
Keywords: Electron acoustic soliton, Soliton interaction, Hirota’s bilinear method.

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
Buy this Article in Print © Anita Publications. All rights reserve

References

1. Swanson D G, Plasma Waves, (Series in Plasma Physics), 2nd Edn, (IoP Publishing, Bristol and Philadelphia), 2003.
2. Goswami B N, Buti B, Ion acoustic solitary waves in a two-electron-temperature plasma, Phys Lett, 57A(1976)149–150.
3. Rao N N, Shukla P K, Yu MY, Dust acoustic waves in dusty plasmas, Planet Space Sci, 38(1990) 543–546.
4. Allen J E, The Early History of Solitons (Solitary Waves), Phys Scr, 57(1998)436–441.
5. Kakati M, Goswami K S, Solitary wave structures in presence of nonisothermal ions in a dusty plasma, Phys Plasmas, 5(1998)4508–4510.
6. Baluku T K, Hellberg M A, Dust acoustic solitons in plasmas with kappa-distributed electrons and/or ion, Phys Plasmas, 15(2008)123705; doi.org/10.1063/1.3042215.
7. Dutta D, Adhikari S, Moulick R, Goswami K S, Evolution of dust ion acoustic soliton in the presence of superthermal electrons, Phys Scr, 94(2019)125210; doi.org/10.1088/1402-4896/ab3a5b.
8. Buti B, Nonlinear electron-acoustic waves in a multi-species plasma, J Plasma Phys, 24(1980)169–180.
9. Buti B, Mohan M, Exact electron-acoustic solitary waves, J Plasma Phys, 23(1980)341–347.
10. Watanabe K, Taniuti T, Electron-Acoustic mode in a plasma of two-temperature electrons, J Phys Soc (Japan), 43(1977)1819–1820.
11. Mace R L, Arbitrary-amplitude electron-acoustic solitons in a two-electron-component plasma, J Plasma Phys, 45(1991)323–338.
12. Adriani O, Barbarino G C, Bazilevskaya G A, Bellotti R, Boezio M, Bogomolov E A, Bonechi L, Bongi M, Bonvicini V, Bottai S, Bruno A, Cafagna F, Campana D, Carlson P, Casolino M, Castellini G, Pascale M P D, Rosa G D, Simone N D, Felice V D, Galper A M, Grishantseva L, Hofverberg P, Koldashov S V, Krutkov S Y, Kvashnin A N, Leonov A, Malvezzi V, Marcelli L, Menn W, Mikhailov V V, Mocchiutti E, Orsi S, Osteria G, Papini P, Pearce M, Picozza P, Ricci M, Ricciarini S B, Simon M, Sparvoli R, Spillantini P, Stozhkov Y I, Vacchi A, Vannuccini E, Vasilyev G, Voronov S A, Yurkin Y T, Zampa G, ZampaN, Zverev V G, An anomalous positron abundance in cosmic rays with energies 1.5–100 GeV, Nature, 458(2009)607–609.
13. Danehkar A, Electrostatic solitary waves in an electron-positron pair plasma with suprathermal electrons, Phys Plasmas, 24(2017)102905; doi.org/10.1063/1.5000873.
14. Jilani K, Mirza A M, Khan T A, Electrostatic electron acoustic solitons in electron-positron-ion plasma with superthermal electrons and positrons, Astrophys Space Sci, 349(2014)255–263.
15. Jahangir R, Masood W, Interaction of electron acoustic waves in the presence of superthermal electrons in terrestrial magnetosphere, Phys Plasmas, 27(2020)042105; doi.org/10.1063/1.5143400.
16. Hirota R, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys Rev Lett, 27(1971)1192; doi.org/10.1103/PhysRevLett.27.1192.
17. Hirota R, The direct Method in soliton theory. In: R K Bullough et al (eds.), Solitons, (Springer-Verlag Berlin Heidelberg), 1980, pp 157-175.
18. Lixin M A, The Multi-Soliton Solutions to The KdV Equation by Hirota Method, Prog Appl Math, 8(2014)30–35.
19. Sahu B, Roychoudhury R, Two-soliton solution of ion acoustic solitary waves in nonplanar geometry, Astrophys Space Sci, 345(2013)91–98.
20. Dutta D, Goswami K S, Dust-Ion-Acoustic Multisoliton Interactions in the Presence of Superthermal Particles. In: S Banerjee, A Saha (eds.), Nonlinear Dynamics and Applications, Springer Proceedings in Complexity, 2022; doi.org/10.1103/PhysRevE.87.043107.
21. Alam M S, Hafez M G, Talukder M R, Ali M Hossain, Effects of two-temperature ions on head-on collision and phase shifts of dust acoustic single- and multi-soliton in dusty plasma, Phys Plasmas, 24(2017)103705; doi.org/10.1063/1.5006803.