Full Paper View Go Back

(2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity

P. Bala1 , D. Vasudeva2

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.4 , pp.25-31, Aug-2021


Online published on Aug 31, 2021


Copyright © P. Bala, D. Vasudeva . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: P. Bala, D. Vasudeva, “(2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity,” International Journal of Scientific Research in Physics and Applied Sciences, Vol.9, Issue.4, pp.25-31, 2021.

MLA Style Citation: P. Bala, D. Vasudeva "(2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity." International Journal of Scientific Research in Physics and Applied Sciences 9.4 (2021): 25-31.

APA Style Citation: P. Bala, D. Vasudeva, (2021). (2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity. International Journal of Scientific Research in Physics and Applied Sciences, 9(4), 25-31.

BibTex Style Citation:
@article{Bala_2021,
author = {P. Bala, D. Vasudeva},
title = {(2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity},
journal = {International Journal of Scientific Research in Physics and Applied Sciences},
issue_date = {8 2021},
volume = {9},
Issue = {4},
month = {8},
year = {2021},
issn = {2347-2693},
pages = {25-31},
url = {https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=2503},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRPAS/full_paper_view.php?paper_id=2503
TI - (2+1)-Dimensional Electron Acoustic Solitary Waves with Electron Trapping and background Nonextensivity
T2 - International Journal of Scientific Research in Physics and Applied Sciences
AU - P. Bala, D. Vasudeva
PY - 2021
DA - 2021/08/31
PB - IJCSE, Indore, INDIA
SP - 25-31
IS - 4
VL - 9
SN - 2347-2693
ER -

162 Views    162 Downloads    61 Downloads
  
  

Abstract :
The present study deals with the derivation of Kadomtsev-Petviashvili (KP) equation to study the propagation characteristics of electron acoustic waves in plasma regime containing cool electron fluid and hot trapped electrons within the nonextensive framework. The wave frequency is observed to decrease with non-extensive parameter q and is independent of nonisothermal character?. The nonlinear KP equation is developed by utilizing the appropriate stretched coordinates and a standard technique popularly known as Reductive Perturbation Method. Two dimensional electrostatic hump structures are obtained which are significantly modified by electron trapping (?) and background nonextensivity (q). It is further deduced that the soliton energy enhances due to electron trapping whereas it reduces in vicinity of nonextensive background. The effect of electron trapping and non-extensive electrons on width and wave amplitude has been presented and found that aforementioned distribution has significant effect on the solitary structures.

Key-Words / Index Term :
Electron acoustic waves, KP equation, Nonisothermal distribution, Nonextensive distribution

References :
[1] K. Watanabe, T. Tanuiti, “Electron-Acoustic Mode in a Plasma of Two-Temperature Electrons”, Journal of the Physical Society of Japan , Vol. 43, No. 5, pp.1-2,1977.
[2] S. P. Gary, J. T. Gosling, D. J. McComas, M. F. Thomsen, G. Paschmann, M. M. Hoppe, “Electron velocity distributions near the Earth`s bow shock”, Journal of Geophysical Resesarch Vol. 88, Issue A1, pp. 96-110, 1983.
[3] T. E. Sheridan, M. J. Goeckener and J. J. Goree, “Observation of twotemperature electrons in a sputtering magnetron plasma”, Journal of Vacuum Science and Technology A, Vol. 9, Issue 3, pp. 688-90, 1991.
[4] P. Sprangle, E. Esarey and A. Ting, “Non linear theory of intense laser-plasma interactions”, Physical Review Letters, Vol. 64, Issue 17, 1990.
[5] S. A. Berk and K. V. Roberts, “Nonlinear Study of Vlasov`s Equation for a Special Class of Distribution Functions”, The Physics of Fluids, Vol. 10, Issue 7, 1967.
[6] A. V. Gurevich, “Distribution of captured particles in a potential well in the absence of collisions”, Soviet Journal of Experimental and Theoretical Physics. Vol. 26, Issue 3, pp. 575-80, 1968.
[7] S. A. Berk, C. E. Neilsen and K. V. Roberts “Phase Space Hydrodynamics of Equivalent Nonlinear Systems: Experimental and Computational Observations”, The Physics of Fluids, Vol. 13, Issue 4, 1970.
[8] M. Kako, T. Taniuti and K. Watanabe, “Hole Equilibria in a Quasi-Cold Plasma”, Journal of the Physical Society of Japan , Vol. 31, No. 6, pp. 1820-29, 1971.
[9] L. B. Bernstein, J. M. Greene and M. D. Kruskal, “Exact Nonlinear Plasma Oscillations”, Physical Review Journals Archive, Vol. 108, Issue 3, 1957.
[10] H. Schamel, “Stationary solitary, snoidal and sinusoidal ion acoustic waves”, Plasma Physics, Vol. 14, No. 10, pp. 1-21, 1972.
[11] H. Schamel, J. Plasma Phys., “A modified Korteweg-de Vries equation for ion acoustic wavess due to resonant electrons”, Journal of Plasma Physics, Vol. 9, Issue 3, pp. 377-87, 1973.
[12] H. Schamel, “Electron holes, ion holes and double layers: Electrostatic phase space structures in theory and experiment”, ELSEVIER, Vol. 140, Issue 3, pp. 161-191, 1986.
[13] H. Schamel, “Analytic BGK modes and their modulational instability”, Journal of Plasma Physics, Vol. 13, Issue 1, pp. 139-45, 1975.
[14] H. Schamel, “Hole equilibria in Vlasov–Poisson systems: A challenge to wave theories of ideal plasmas”, Physics of Plasmas, Vol. 7, Issue 12, pp. 4831-44, 2000.
[15] D. J. Williams and G. D. Mead, “Nightside Magnetosphere Configuration as Obtained from Trapped Electrons at 1100 Kilometers”, Journal of Geophysical Research, Vol. 70, No. 13, pp. 3017-29, 1965.
[16] C. Tsallis, “Possible generalization of Boltzmann-Gibbs statistics” Journal of Statistical Physics, Vol. 52, Issue 1, pp. 479-87, 1988.
[17] M Tribeche, L Djebarni and H Schamel, “Solitary ion-acoustic wave propagation in the presence of electron trapping and background non extensivity”, Physics Letters A, Vol. 376, Issue 45, pp. 3164-71, 2012.
[18] L. Djebarni, G. A. Leila and M. Tribeche, “Effect of electron trapping and background nonextensivity on the ion-acoustic solitons energy”, Astrophysics and Space Science, Vol. 350, Issue 2, pp. 541-45, 2014.
[19] S. Shan, A. Ur-Rehman,and A. Mushtaq, “Electron acoustic solitary waves in a beeam plasma with electron trapping and nonextensivity effects”, Physics of Plasmas, Vol. 23, pp. 092118:1-7, 2016.
[20] S. Shan, A. Ur-Rehman and A. Mushtaq, “Ion acoustic solitary waves in a beeam plasma with electron trapping and nonextensivity effects”, Physics of Plasmas, Vol 24, pp. 032104:1-7, 2017.
[21] W. S. Kadomstev and V. Petviashvili, “On the stability of solitary waves in a Weakly Depressing Media”, Soviet Physics Doklady, Vol. 15, p. 539, 1970.
[22] S. Mahmood, N. Akhtar and S. A. Khan, “Kadomtsev-Petviashvili equation for acoustic waves in quantum pair plasma” Journal of Plasma Physics, Vol 78, Issue 1, pp. 3-9, 2012.
[23] M. M. Lin and W. S. Duan, “(2+1)-Dimensional electron acoustic solitary waves in an unmagnetized collisonless plasma with vortex-like hot electrons”, Communications in Theoretical Physics, Vol. 47, No. 2, pp. 339-42, 2007.
[24] T. S. Gill, N. S. Saini and H. Kaur, “Kadomtsev-Petviashvili equation in dusty plasma with variable dust charge and two temperature ions”, Chaos Solitons Fractals, Vol. 28, Issue 4, pp. 1106-11, 2016.
[25] L. A. Abramyan and Y. A. Stepanyants, “Two dimensional multisolitons: stationary solution of Kadomtsev-Petviashvili equation”, Radiophysics and Qunatum Electronics, Vol. 28, pp. 20-26, 1985.
[26] H. K. Malik, “Effect of electron inertia on KP solitons in a relativistic plasma” Physics. D: Nonlinear Phenomenon., Vol. 125, Issue 3-4, pp 295, 1999.
[27] M. Abramowitz and I. A. Stegun: “Handbook of Mathematical Functions”, 10th ed., pp. I-1044, Gaithersburg, 1972.
[28] H. Washimi,and T. Taniuti, “Propagation of ion-acoustic waves of small amplitude”, Physical Review Letters, Vol. 17, Issue 19, 1966.
[29] K. Ko, and H. H. Kuehl, “Korteweg-de Vries solitons in a slowly varing medium”, Physical Review Letters, Vol. 40, Issue 4, p.233, 1978.
[30] K. Ko and H. H. Kuehl, “Modified Korteweg-de Vries solitons in a slowly varing medium”, The Physics of Fluids, Vol. 23, Issue 1, p. 31, 1980.
[31] S. Singh and T. Honzawa, “Kadomstev-Petviashivili equation for an ion-acoustic solitons in a collisonless weakly relativistic plasma with finite ion-temperature”, Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7, p. 2093, 1993.
[32] D. K. Singh, and H. K. Malik, “Studies on soliton energy at critical and non critical densities of negative ions in an inhomogeneous magnetized warm plasma”, Vol. 14, Issue 11, 2007.
[33] M. A. Zahran, E. K. El-Shewy and H. G. Abdelwahed “Dust-acoustic solitary waves in a dusty plasma with dust opposite polarity and vortex- like ion distribution”. Journal of Plasma Physics, Vol 79, Issue 5, pp. 859-65, 2013.
[34] N. Dubouloz, R. A. Treumann, R. Pottelette and M. Malingre “Turbulence generated by a gas of electron acoustic solitons” Journal of Geophysical Research, Vol. 98, Issue A10, pp. 17415-22, 1993.
[35] G. S. Lakhina and S. V. Singh, “Generation of electron-acoustic warm in the magnetosphere” Planetary and Space Science, Vol. 49, Issue 1, pp. 107-14, 2001.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation