Abstract
In this paper, we have presented a study on the propagation of nonlinear Dust-Acoustic Solitary Waves (DASWs) in inhomogeneous magnetized dusty plasma. In this model, we have considered a system of collisional, magnetized dusty plasma, consisting of nonextensive electrons, Boltzmannean ions, and negatively charged dust grains in the plasma. We have also considered variable number density for the different dusty plasma components. Using the Reductive Perturbation Theory (RPT), the modified Zakharov-Kuznetsov (m-ZK) equation is derived with the help of governing equations in the plasma. The solutions of m-ZK equation indicate the propagation of nonlinear DASWs. This study also shows how the inhomogeneity parameters and nonextensive electrons impact on the phase velocity, width and amplitude of the soliton propagating in inhomogeneous plasmas. In this investigation, we have also predicted some relations among the amplitude, width, and phase velocity of the DASWs which is relevant to Earth’s magnetospheric plasma environment for the system.
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H. Washimi, T. Taniuti, Propagation of ion-acoustic solitary waves of small amplitude. Phys. Rev. Lett. 17(19), 996 (1966)
K. Nishikawa, P.K. Kaw, Propagation of solitary ion acoustic waves in inhomogeneous plasmas. Phys. Lett. A 50(6), 455–456 (1975)
H.H. Kuehl, Reflection of an ion-acoustic soliton by plasma inhomogeneities. Phys. Fluids 26(6), 1577–1583 (1983)
H.H. Kuehl, K. Imen, Finite-amplitude ion-acoustic solitons in weakly inhomogeneous plasmas. Phys. Fluids 28(8), 2375–2381 (1985)
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)
S. Singh, R.P. Dahiya, Effect of ion temperature and plasma density on an ion-acoustic soliton in a collisionless relativistic plasma: An application to radiation belts. Phys. Fluids B 2(5), 901–906 (1990)
D.L. Xiao, J.X. Ma, Y.F. Li, Y. Xia, M.Y. Yu, Evolution of nonlinear dust-ion-acoustic waves in an inhomogeneous plasma. Phys. Plasmas 13(5), 052308 (2006)
H.K. Malik, R.P. Dahiya, Ion acoustic solitons in finite ion temperature inhomogeneous plasmas having negative ions. Phys. Plasmas 1(9), 2872–2875 (1994)
D.K. Singh, H.K. Malik, Soliton reflection in a negative ion containing plasma: Effect of magnetic field and ion temperature. Phys. Plasmas 13(8), 082104 (2006)
S.S. Chauhan, H.K. Malik, R.P. Dahiya, Reflection of ion acoustic solitons in a plasma having negative ions. Phys. Plasmas 3(11), 3932–3938 (1996)
D.K. Singh, 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)
S. Singh, R.P. Dahiya, Effect of zeroth-order density inhomogeneity on ion-acoustic soliton reflection in a finite ion temperature plasma. Phys. Fluids B 3(1), 255–258 (1991)
S. Singh, R.P. Dahiya, Propagation characteristics and reflection of an ion-acoustic soliton in an inhomogeneous plasma having warm ions. J. Plasma Phys. 41(1), 185–197 (1989)
N.N. Rao, P.K. Shukla, Nonlinear dust-acoustic waves with dust charge fluctuations. Planet. Space Sci. 42(3), 221–225 (1994)
A. Mukherjee, M.S. Janaki, A. Kundu, Bending of solitons in weak and slowly varying inhomogeneous plasma. Phys. Plasmas 22(12), 122114 (2015)
Dehingia, H.J., Deka, P.N. (2022). Structural Variations of Ion-Acoustic Solitons. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_8.
Rani, N., & Yadav, M. (2021, August). Propagation of nonlinear electron acoustic solitons in magnetized dense plasma with quantum effects of degenerate electrons. In AIP Conference Proceedings (Vol. 2352, No. 1, p. 030008). AIP Publishing LLC.
C. Chen, Y. Pan, J. Guo, Y. Wang, G. Gao, W. Wang, Soliton dynamics for quantum systems with higher-order dispersion and nonlinear interaction. AIP Adv. 10(6), 065313 (2020)
Prayitno, T. B., & Budi, E. (2021, March). Numerical calculation on energy of static soliton solution for KdV equation. In AIP Conference Proceedings (Vol. 2320, No. 1, p. 050014). AIP Publishing LLC.
F.F. Lu, S.Q. Liu, Small amplitude ion-acoustic solitons with regularized κ-distributed electrons. AIP Adv. 11(8), 085223 (2021)
C.K. Goertz, Dusty plasmas in the solar system. Rev. Geophys. 27(2), 271–292 (1989)
T.G. Northrop, Dusty plasmas. Phys. Scr. 45(5), 475 (1992)
P.K. Shukla, V.P. Silin, Dust ion-acoustic wave. Phys. Scr. 45(5), 508 (1992)
N.N. Rao, P.K. Shukla, M.Y. Yu, Dust-acoustic waves in dusty plasmas. Planet. Space Sci. 38(4), 543–546 (1990)
F. Melandso, Lattice waves in dust plasma crystals. Phys. Plasmas 3(11), 3890–3901 (1996)
A. Barkan, N. D’Angelo, R.L. Merlino, Experiments on ion-acoustic waves in dusty plasmas. Planet. Space Sci. 44(3), 239–242 (1996)
A. Barkan, R.L. Merlino, N. D’Angelo, Laboratory observation of the dust-acoustic wave mode. Phys. Plasmas 2(10), 3563–3565 (1995)
H.U. Rehman, Electrostatic dust acoustic solitons in pair-ion-electron plasmas. Chin. Phys. Lett. 29(6), 065201 (2012)
V.N. Tsytovich, N.G. Gusein-zade, Nonlinear screening of dust grains and structurization of dusty plasma. Plasma Phys. Rep. 39, 515–547 (2013)
L.B. Gogoi, P.N. Deka, Propagation of dust acoustic solitary waves in inhomogeneous plasma with dust charge fluctuations. Phys. Plasmas 24(3), 033708 (2017)
A. Atteya, S. Sultana, R. Schlickeiser, Dust-ion-acoustic solitary waves in magnetized plasmas with positive and negative ions: The role of electrons superthermality. Chin. J. Phys. 56(5), 1931–1939 (2018)
N. Akhtar, S.A. El-Tantawy, S. Mahmood, A.M. Wazwaz, On the dynamics of dust-acoustic and dust-cyclotron freak waves in a magnetized dusty plasma. Romanian Rep. Phys. 71, 403 (2019)
H. Ur-Rehman, S. Mahmood, S. Hussain, Magneto-acoustic solitons in pair-ion fullerene plasma. Waves in Random and Complex Media 30(4), 632–642 (2020)
X. Mushinzimana, F. Nsengiyumva, L.L. Yadav, T.K. Baluku, Dust ion acoustic solitons and double layers in a dusty plasma with adiabatic positive dust, adiabatic positive ion species, and Cairns-distributed electrons. AIP Adv. 12(1), 015208 (2022)
H. Dehingia, P.N. Deka, Effects of dust particles on dust acoustic solitary waves (DASWs) propagating in inhomogeneous magnetized dusty plasmas (MDPs) with dust charge fluctuations. Int. Conf. Adv. Trans. Phenomena 1(4), 56–58 (2022)
Dehingia, H. J., & Deka, P. (2023). Structural variations of dust acoustic solitary waves (DASWs) propagating in an inhomogeneous plasma. East European Journal of Physics, doi: https://doi.org/10.26565/2312-4334-2023-1-02.
A.P. Misra, A.R. Chowdhury, Dust-acoustic solitary waves in an inhomogeneous magnetized hot dusty plasma with dust charge fluctuations. Phys. Plasmas 13(6), 062307 (2006)
A.P. Misra, A. Roy Chowdhury, Modulation of dust acoustic waves with a quantum correction. Phys. Plasmas 13(7), 072305 (2006)
N. Panahi, H. Alinejad, M. Mahdavi, Effect of nonextensive electrons on dust–ion acoustic wave self-modulation. Can. J. Phys. 93(8), 912–919 (2015)
L.P. Zhang, J.K. Xue, Multidimensional dust acoustic solitary waves in inhomogeneous magnetized dusty plasmas with nonthermal ions. Commun. Nonlinear Sci. Numer. Simul. 15(11), 3379–3385 (2010)
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Dehingia, H.J., Deka, P.N. 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
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DOI: https://doi.org/10.1007/s40042-023-00854-2