Characteristics of Nonlinear Dust Acoustic Waves (DAWs) Propagating in an Inhomogeneous Collisionless Magnetized Dusty Plasma
Abstract
In this paper, we have presented our investigation on the characteristics of nonlinear dust acoustic waves (DAWs) propagating in an inhomogeneous collisionless magnetized dusty plasma (MDP). In this problem, we have considered a collisionless plasma consisting of nonthermal ions, non-extensive electrons and negatively charged dust grains. Using the reductive perturbation theory (RPT) we have derived the modified Zakharov-Kuznetsov (m-ZK) equation. The solution of m-ZK equation indicates the nonlinear characteristics of the DASWs in plasma. Our investigation also predicts how the amplitudes of nonlinear DASWs are significantly modified due to the influence of magnetic field, non-extensive electrons and inhomogeneity parameters in plasma. The results obtained in this investigation may be useful for understanding the propagation characteristics and modification of structures of nonlinear waves in both laboratory and astrophysical plasmas.
Downloads
References
H. Washimi, and T. Taniuti, “Propagation of ion-acoustic solitary waves of small amplitude,” Phys. Rev. Lett. 17, 996–998 (1966). https://doi.org/10.1103/PhysRevLett.17.996
N. Nishikawa, and K. Kaw, “Propagation of solitary ion-acoustic waves in inhomogeneous plasmas,” Phys. Lett. A, 50, 455–456 (1975). https://doi.org/10.1016/0375-9601(75)90124-3
H.H. Kuehl, “Reflection of an ion-acoustic soliton by plasma inhomogeneities,” Phys. Fluids, 26(6), 1577–1583 (1983). https://doi.org/10.1063/1.864292
Y. Nejoh, “The effect of the ion temperature on the ion-acoustic solitary waves in a collisionless relativistic plasma,” J. Plasma Phys. 37(3), 487–495 (1987). https://doi.org/10.1017/S0022377800012320
D.K. Singh, and H.K. Malik, “Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature,” Phys. Plasmas, 13(8), 082104(1–10) (2006). https://doi.org/10.1063/1.2335427
D.K. Singh, and H.K. Malik, “Modified Korteweg–de Vries soliton evolution at critical density of negative ions in an inhomogeneous magnetized cold plasma,” Phys. Plasmas, 14(6), 062113 (2007). https://doi.org/10.1063/1.2743026
D. Xiao, J.X. Ma, Y. Li, Y. Xia, and M.Y. Yu, “Evolution of nonlinear dust-ion-acoustic waves in an inhomogeneous plasma,” Phys. Plasmas, 13(5), 052308 (2006). https://doi.org/10.1063/1.2196247
A. Kakad, Y. Omura, and B. Kakad, “Experimental evidence of ion acoustic soliton chain formation and validation of nonlinear fluid theory,” Physics of Plasmas, 20(6), 062103 (2013). https://doi.org/10.1063/1.4810794
X. Shi, J. Li, and C. Wu, “Dynamics of soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation,” Chaos, 29, 023120 (2019). https://doi.org/10.1063/1.5080921
N. Rani, and M. Yadav, “Propagation of nonlinear electron acoustic solitons in magnetized dense plasma with quantum effects of degenerate electrons,” AIP Conference Proceedings, 2352, 030008 (2020). https://doi.org/10.1063/5.0052436
H.J. Dehingia, and P.N. Deka, “Structural Variations of Ion-Acoustic Solitons,” in: Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022 (pp. 97-104). (Springer International Publishing, Cham, 2022).
L. Spitzer Jr., “Review of Publications: Physical Processes in the Interstellar Medium”, Journal of the Royal Astronomical Society of Canada, 72, 349 (1978). https://articles.adsabs.harvard.edu/pdf/1978JRASC..72..349S
C.K. Goertz, “Dusty plasmas in the solar system”, Reviews of Geophysics, 27(2), 271-292 (1989). https://doi.org/10.1029/RG027i002p00271
N.N. Rao, P.K. Shukla, and M.Y. Yu, “Dust-acoustic waves in dusty plasmas”, Planetary and space science, 38(4), 543 (1990). https://doi.org/10.1016/0032-0633(90)90147-I
P.K. Shukla, and V.P. Silin, “Dust ion-acoustic wave”, Physica Scripta, 45(5), 508 (1992). https://doi.org/10.1088/0031-8949/45/5/015
P.K. Shukla, and A.A. Mamun, Introduction to dusty plasma physics, (Institute of Physics Publishing Ltd, Bristol, 2015).
T.K. Baluku, and M.A. Hellberg, “Kinetic theory of dust ion acoustic waves in a kappa-distributed plasma”, Physics of Plasmas, 22(8), 083701 (2015). https://doi.org/10.1063/1.4927581
H. Alinejad, and V. Khorrami, “Effects of Polarized Debye Sheath and Trapped Ions on Solitary Structures in a Strongly Coupled Inhomogeneous Dusty Plasma”, IEEE Transactions on Plasma Science, 46(4), 755 (2017). https://doi.org/10.1109/TPS.2017.2749382
A. Atteya, S. Sultana, and R. Schlickeiser, “Dust-ion-acoustic solitary waves in magnetized plasmas with positive and negative ions: The role of electrons superthermality”, Chinese journal of physics, 56(5), 1931 (2018). https://doi.org/10.1016/j.cjph.2018.09.002
N. Akhtar, S.A. El-Tantawy, S. Mahmood, and A.M. Wazwaz, “On the dynamics of dust-acoustic and dust-cyclotron freak waves in a magnetized dusty plasma”, Romanian Reports in Physics, 71, 403 (2019). https://rrp.nipne.ro/2019/AN71403.pdf
H. Ur-Rehman, S. Mahmood, and S. Hussain, “Magneto-acoustic solitons in pair-ion fullerene plasma”, Waves in Random and Complex Media, 30(4), 632-642 (2020). https://doi.org/10.1080/17455030.2018.1549762
A. Atteya, M.A. El-Borie, G.D. Roston, and A.S. El-Helbawy, “Nonlinear dust acoustic waves in an inhomogeneous magnetized quantum dusty plasma”, Waves in Random and Complex Media, 33, 329-344 (2021). https://doi.org/10.1080/17455030.2021.1880030
H.R. Pakzad, and D. Nobahar, “Dust-ion acoustic solitons in superthermal dusty plasmas”, New Astronomy, 93, 101752 (2022). https://doi.org/10.1016/j.newast.2021.101752
H. Dehingia, “Various Aspects of Dust-Acoustic Solitary Waves (DAWs) in Inhomogeneous Plasmas,” in: Plasma Science - Recent Advances, New Perspectives and Applications, edited by S. Singh, (IntechOpen, 2022). https://doi.org/10.5772/intechopen.109160
H. Dehingia, and P.N. Deka, “Effects of dust particles on dust acoustic solitary waves (DASWs) propagating in inhomogeneous magnetized dusty plasmas (MDPs) with dust charge fluctuations,” in: Int. Conf. Adv. Trans. Phenomena, 1(4), 56-58 (2022).
H.J. Dehingia, and P.N. Deka, “Structural Variations of Dust Acoustic Solitary Waves (DASWs) Propagating in an Inhomogeneous Plasma,” East European Journal of Physics, (1), 19-27 (2023). https://doi.org/10.26565/2312-4334-2023-1-02
H.J. Dehingia, and P.N. Deka, “Propagation of nonlinear dust-acoustic solitary waves under the effect of non-extensive electrons in inhomogeneous collisional magnetized dusty plasma,” J. Korean Phys. Soc. 83, 337–343 (2023). https://doi.org/10.1007/s40042-023-00854-2
F. Verheest, and M.A. Hellberg, “Nonthermal effects on existence domains for dust-acoustic solitary structures in plasmas with two-temperature ions,” Physics of Plasmas, 17(2), 023701 (2010). https://doi.org/10.1063/1.3299356
N.N. Rao, and P.K. Shukla, “Coupled Langmuir and ion-acoustic waves in two-electron temperature plasmas,” Physics of Plasmas, 4(3), 636-645 (1997). https://doi.org/10.1063/1.872160
V. Maslov, and H. Schamel, “Growing electron holes in drifting plasmas,” Physics Letters A, 178(1-2), 171 (1993). https://doi.org/10.1016/0375-9601(93)90746-M
H. Schamel, and V.I. Maslov, “Adiabatic growth of electron holes in current-carrying plasmas,” Physica Scripta, T50, 42 (1994). https://doi.org/10.1088/0031-8949/1994/T50/006
H. Schamel, and V.I. Maslov, “Langmuir Wave Contraction Caused by Electron Holes,” Physica Scripta T, 82, 122 (1999). https://doi.org/10.1238/Physica.Topical.082a00122
V.I. Maslov, “Electron beam excitation of a potential well in a magnetized plasma waveguide,” Physics Letters A, 165(1), 63-68 (1992). https://doi.org/10.1016/0375-9601(92)91055-V
Copyright (c) 2024 Hirak Jyoti Dehingia, Paramananda Deka
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).