Abstract
The study of dust and ion-acoustic solitary wave profile involves understanding the formation and propagation of solitary waves in dusty plasma, where the motion of dust and ions has been taken into account together. Thus, the positively charged ions and negatively charged relatively lighter dust are considered mobile with Maxwellian electrons. The reductive perturbation method has been employed to derive the Korteweg-de-Vries (KdV) equation for studying the dust and ion-acoustic solitary profile. The nonlinearity and dispersion coefficients are modified by considering the dust particles’ mobility with ions; thus, both the amplitude and width of the dust and ion-acoustic solitary waves deviate from dust-ion-acoustic waves. The impact of a magnetic field on dust and ion-acoustic solitary wave propagation in dusty plasma involves delving into the interactions of charged particles. Moreover, the magnetic field significantly influences the dynamics and behavior of these particles, affecting their collective phenomena and wave formations. It introduces complexities in the wave profiles, potentially altering their characteristics, velocities, and spatial profiles.
Similar content being viewed by others
References
A. Abdikian, S. Sultana, Dust-acoustic solitary and cnoidal waves in a dense magnetized dusty plasma with temperature degenerate trapped electrons and nonthermal ions. Phys. Scr. 96(9), 095602 (2021)
P.K. Shukla, A.A. Mamun, Introduction to dusty plasma physics (CRC Press, 2015)
F. Verheest, Waves and instabilities in dusty space plasmas. Space Sci. Rev. 77(3–4), 267–302 (1996)
D. A. Mendis, M. Rosenberg, Cosmic dusty plasma. Ann. Rev. Astron. Astrophys. 32(1), 419–463 (1994)
C.K. Goertz, Dusty plasmas in the solar system. Rev. Geophys. 27(2), 271–292 (1989)
A. Saha, S. Banerjee, Dynamical systems and nonlinear waves in plasmas (CRC Press, 2021)
T.W. Hartquist, O. Havnes, G.E. Morfill, The effects of dust on the dynamics of astronomical and space plasmas. Fundam. Cosm. Phys. 15, 107–142 (1992)
A. Homann, A. Melzer, S. Peters, A. Piel, Determination of the dust screening length by laser-excited lattice waves. Phys. Rev. E 56(6), 7138 (1997)
A. Barkan, R.L. Merlino, N. D’angelo, Laboratory observation of the dust-acoustic wave mode. Phys. Plasmas 2(10), 3563–3565 (1995)
J.H. Chu, J.-B. Du, I. Lin, Coulomb solids and low-frequency fluctuations in RF dusty plasmas. J. Phys. D Appl. Phys. 27(2), 296 (1994)
A. Bouchoule, A. Plain, L. Boufendi, J. Ph Blondeau, C. Laure, Particle generation and behavior in a silane-argon low-pressure discharge under continuous or pulsed radio-frequency excitation. J. Appl. Phys. 70(4), 1991–2000 (1991)
J.-E. Wahlund, M. André, A.I.E. Eriksson, M. Lundberg, M.W. Morooka, M. Shafiq, T.F. Averkamp, D.A. Gurnett, G.B. Hospodarsky, W.S. Kurth et al., Detection of dusty plasma near the e-ring of Saturn. Planet. Space Sci. 57(14–15), 1795–1806 (2009)
M. Horányi, T.W. Hartquist, O. Havnes, D.A. Mendis, G.E. Morfill, Dusty plasma effects in Saturn’s magnetosphere. Rev. Geophys. (2004). https://doi.org/10.1029/2004RG000151
P.K. Shukla, V.P. Silin, Dust ion-acoustic wave. Phys. Scr. 45(5), 508 (1992)
A.A. Mamun, P.K. Shukla, Discoveries of waves in dusty plasmas. J. Plasma Phys. 77(4), 437–455 (2011)
M.R. Amin, G.E. Morfill, P.K. Shukla, Modulational instability of dust-acoustic and dust-ion-acoustic waves. Phys. Rev. E 58(5), 6517 (1998)
N.N. Rao, P.K. Shukla, M. Yu, Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38(4), 543–546 (1990)
K.E. Lonngren, Expansion of a dusty plasma into a vacuum. Planet. Space Sci. 38(11), 1457–1459 (1990)
S.A. Khan, S. Mahmood, A.M. Mirza, Cylindrical and spherical dust ion-acoustic solitary waves in quantum plasmas. Phys. Lett. A 372(2), 148–153 (2008)
W.F. El-Taibany, R. Sabry, Dust-acoustic solitary waves and double layers in a magnetized dusty plasma with nonthermal ions and dust charge variation. Phys. Plasmas 12(8), 082302 (2005)
K.A. Islam, F. Deeba, M. Kamal-Al-Hassan, Dust ion acoustic solitons in a complex dusty plasma system with an adiabatic state. Heliyon 6(10), e05373 (2020)
A.A. Mamun, K.S. Ashrafi, P.K. Shukla, Effects of polarization force and effective dust temperature on dust-acoustic solitary and shock waves in a strongly coupled dusty plasma. Phys. Rev. E 82(2), 026405 (2010)
B. Xie, K. He, Z. Huang, Dust-acoustic solitary waves and double layers in dusty plasma with variable dust charge and two-temperature ions. Phys. Plasmas 6(10), 3808–3816 (1999)
H. Alinejad, Dust ion-acoustic solitary waves in a dusty plasma with arbitrarily charged dust and flat-trapped electrons. Astrophys. Space Sci. 334, 331–336 (2011)
H. Washimi, Tosiya Taniuti, Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17(19), 996 (1966)
B.-g Zhang, W. Li, X. Li, Peakons and new exact solitary wave solutions of extended quantum Zakharov–Kuznetsov equation. Phys. Plasmas 24(6), 1 (2017)
A. Abdikian, J. Tamang, A. Saha, Investigation of supernonlinear and nonlinear ion-acoustic waves in a magnetized electron-ion plasma with generalized (r, q) distributed electrons. Waves Random Complex Media (2021). https://doi.org/10.1080/17455030.2021.1965242
A. Abdikian, S. V. Farahani, The characteristics of ion-acoustic solitary waves in relativistic rotating astrophysical plasmas. Eur. Phys. J. Plus 137(6), 652 (2022)
A.A. Mamun, P.K. Shukla, Cylindrical and spherical dust ion-acoustic solitary waves. Phys. Plasmas 9(4), 1468–1470 (2002)
B. Tian, Yi-Tian. Gao, On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Phys. Lett. A 340(5–6), 449–455 (2005)
M. Khalid, A. Khan, M. Khan, F. Hadi, Dust ion acoustic solitary waves in unmagnetized plasma with Kaniadakis distributed electrons. Braz. J. Phys. 51, 60–65 (2021)
T.K. Baluku, M.A. Hellberg, I. Kourakis, N.S. Saini, Dust ion acoustic solitons in a plasma with kappa-distributed electrons. Phys. Plasmas 17(5), 053702 (2010)
M.M. Haider, T. Ferdous, S.S. Duha, A.A. Mamun, Dust-ion-acoustic solitary waves in multi-component magnetized plasmas. Open J. Modern Phys. 1(2), 13–24 (2014)
M.M. Haider, Dust-ion-acoustic solitary structure with opposite polarity ions and non-thermal electrons. Eur. Phys. J. D 70, 1–6 (2016)
S. Ghosh, S. Sarkar, M. Khan, M.R. Gupta, Small amplitude nonlinear dust ion acoustic waves in a magnetized dusty plasma with charge fluctuation. Phys. Scr. 63(5), 395 (2001)
H. Sahoo, C. Das, S. Chandra, B. Ghosh, K.K. Mondal, Quantum and relativistic effects on the kdv and envelope solitons in ion-plasma waves. IEEE Trans. Plasma Sci. 50(6), 1610–1623 (2021)
M. Singh, K. Singh, N.S. Saini, Large-amplitude dust inertial alfvén waves in an electron-depleted dusty plasma. Pramana 95, 1–9 (2021)
M. Shalaby, S.K. El-Labany, E.F. El-Shamy, M.A. Khaled, On dust ion acoustic solitary waves in collisional dusty plasmas with ionization effect. Astrophys. Space Sci. 326, 273–279 (2010)
R.S. Tiwari, M.K. Mishra, Ion-acoustic dressed solitons in a dusty plasma. Phys. Plasmas 13(6), 062112 (2006)
X. Wang, A. Bhattacharjee, S.K. Gou, J. Goree, Ionization instabilities and resonant acoustic modes. Phys. Plasmas 8(11), 5018–5024 (2001)
Y.-N. Nejoh, The dust charging effect on electrostatic ion waves in a dusty plasma with trapped electrons. Phys. Plasmas 4(8), 2813–2819 (1997)
N. Alam, A. Mannan, A.A. Mamun, Large amplitude dust-acoustic solitary waves and double layers in nonthermal warm complex plasmas. AIP Adv. 13(10), (2023)
Kuldeep Singh, Amar Kakad, Bharati Kakad, Ioannis Kourakis, Fluid simulation of dust-acoustic solitary waves in the presence of suprathermal particles: application to the magnetosphere of Saturn. Astron. Astrophys. 666, A37 (2022)
V.W. Chow, D.A. Mendis, M. Rosenberg, Role of grain size and particle velocity distribution in secondary electron emission in space plasmas. J. Geophys. Res. Space Phys. 98(A11), 19065–19076 (1993)
A. Mannan, A.A. Mamun, Nonplanar dust-acoustic Gardner solitons in a four-component dusty plasma. Phys. Rev. E 84(2), 026408 (2011)
P.K. Shukla, M. Rosenberg, Streaming instability in opposite polarity dust plasmas. Phys. Scr. 73(2), 196 (2006)
C. Killer, M. Mulsow, A. Melzer, Spatio-temporal evolution of the dust particle size distribution in dusty argon rf plasmas. Plasma Sourc. Sci. Technol. 24(2), 025029 (2015)
D.S. Balis, V. Amiridis, S. Nickovic, A. Papayannis, C. Zerefos, Optical properties of Saharan dust layers as detected by a Raman lidar at Thessaloniki, Greece. Geophys. Res. Lett. (2004). https://doi.org/10.1029/2004GL019881
S.K. El-Labany, E.F. El-Shamy, S.A. El-Warraki, Dressed ion-acoustic solitons in magnetized dusty plasmas. Phys. Plasmas 16(1), 013703 (2009)
D. Winske, S. P. Gary, M. E. Jones, M. Rosenberg, V.W. Chow, D.A. Mendis, Ion heating in a dusty plasma due to the dust/ion acoustic instability. Geophys. Res. Lett. 22(15), 2069–2072 (1995)
R.K. Varma, P.K. Shukla, V. Krishan, Electrostatic oscillations in the presence of grain-charge perturbations in dusty plasmas. Phys. Rev. E 47(5), 3612 (1993)
H. Alinejad, Effect of nonthermal electrons on oblique electrostatic excitations in a magnetized electron-positron-ion plasma. Phys. Plasmas 19(5), 052302 (2012)
L.-p Zhang, J.-k Xue, Effects of the dust charge variation and non-thermal ions on multi-dimensional dust acoustic solitary structures in magnetized dusty plasmas. Chaos, Solitons Fract. 23(2), 543–550 (2005)
A.A. Mamun, M.H.A. Hassan, Effects of dust grain charge fluctuation on an obliquely propagating dust acoustic solitary potential in a magnetized dusty plasma. J. Plasma Phys. 63(2), 191–200 (2000)
F. Sayed, M.M. Haider, A.A. Mamun, P.K. Shukla, B. Eliasson, N. Adhikary, Dust ion-acoustic solitary waves in a dusty plasma with positive and negative ions. Phys. Plasmas 15(6), 063701 (2008)
S.K. El-Labany, W.F. El-Taibany, Dust acoustic solitary waves and double layers in a dusty plasma with an arbitrary streaming ion beam. Phys. Plasmas 10(4), 989–998 (2003)
M. Nakayama, D.P. Mason, On the existence of compressive solitary waves in compacting media. J. Phys. A: Math. Gen. 27(13), 4589 (1994)
R. Barazandeh Kian, M. H. Mahdieh, The compressive and rarefactive dust acoustic solitary waves with two different temperatures for both electrons and ions. Phys. Wave Phenom. 30(5), 336–343 (2022)
T. Kawahara, Oscillatory solitary waves in dispersive media. J. Phys. Soc. Jpn. 33(1), 260–264 (1972)
F. Verheest, M.A. Hellberg, Compressive and rarefactive solitary waves in nonthermal two-component plasmas. Phys. Plasmas 17(10), 102312 (2010)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Himel Azad, M., Masum Haider, M. & Rahman, O. Impact of magnetic field on dust and ion-acoustic solitary profile in dusty plasma. J. Korean Phys. Soc. 84, 510–520 (2024). https://doi.org/10.1007/s40042-024-01032-8
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40042-024-01032-8