Abstract
The linear and weakly nonlinear dust-ion-acoustic wave propagation obliquely to an external magnetic field is studied in a magnetized dusty plasma which consists of magnetized fluid ions bearing with anisotropic pressure, suprathermal electrons, and static dust grains. In the linear regime, the magnetized dusty plasma supports the propagation of the fast electrostatic dust-ion-cyclotron (EDIC) and the slow electrostatic dust-ion-acoustic (DIA) modes. The effects of different parameters on the two modes are outlined. In the weakly nonlinear regime, a reductive perturbative technique (RPT) is used to derive a modified equation of propagation of the electrostatic potential modified by the presence of a magnetic field and the ion pressure anisotropy. Particular equations of propagations are covered in the case of unmagnetized anisotropic plasma and the case of a strong magnetic field. It is found numerically that the modified equation of propagation admits compressive and rarefactive solitary waves with amplitudes and widths values increase with the increase of the values of the ion perpendicular pressure. The strength of the magnetic field only affects the width of the two structures. For particular values of plasma parameters, periodic, quasi-periodic, and chaotic nonlinear oscillations are numerically investigated. This chaotic behavior is corroborated by the positivity of one of the Lyapunov exponents.
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Abdelwahed, H.G., El-Shewy, E.K., El-Depsy, A., EL-Shamy, E.F.: Phys. Plasmas 24, 023703 (2017). https://doi.org/10.1063/1.4975664
Adnan, M., Qamar, A., Mahmood, S., Kourakis, I.: Phys. Plasmas 24, 032114 (2017). https://doi.org/10.1063/1.4978613
Baumjohann, W., Treumann, R.A.: Basic Space Plasma Physics. Imperial College Press, London (1996). https://doi.org/10.1142/p015
Chew, G.F., Goldberger, M.L., Low, E.F.: Proc. R. Soc. A 236, 112 (1956). https://doi.org/10.1098/rspa.1956.0116
Chian, A.C.-L., Kamide, Y., Rempel, E.L., Santana, W.M.: J. Geophys. Res., Atmos. 111, A07S03 (2006). https://doi.org/10.1029/2005JA011396
Das, T.K., Ali, R., Chatterjee, P.: Phys. Plasmas 24, 103703 (2017). https://doi.org/10.1063/1.4990849
Denton, R.E., Anderson, B.J., Gary, S.P., Fuselier, S.A.: J. Geophys. Res. 99, 225 (1994). https://doi.org/10.1029/94JA00272
Farooq, M., Mushtaq, A.: Phys. Plasmas 24, 123707 (2017). https://doi.org/10.1063/1.5011248
Fasoli, A., Skiff, F., Kleiber, R., Tran, M.Q., Paris, P.J.: Phys. Rev. Lett. 70, 303 (1993). https://doi.org/10.1103/PhysRevLett.70.303
Feldman, W.C., Anderson, R.C., Asbridge, J.R., Bame, S.J., Gosling, J.T., Zwickl, R.D.: J. Geophys. Res. 87, 632 (1982). https://doi.org/10.1029/JA087iA02p00632
Hilborn, R.C.: In: Chaos and Nonlinear Dynamics, Oxford UP (2000). https://oxford.universitypressscholarship.com/view/10.1093/acprof:oso/9780198507239.001.0001/acprof-9780198507239
Kellett, S., Arridge, C.S., Bunce, E.J., Coates, A.J., Cowley, S.W.H., Dougherty, M.K., Persoon, A.M., Sergis, N., Wilson, R.J.: J. Geophys. Res. Space Phys. 116, 05220 (2011). https://doi.org/10.1029/2010JA016216
Kodanova, S.K., Bastykova, N.Kh., Ramazanov, T.S., Nigmetova, G.N., Maiorov, S.A.: IEEE Trans. Plasma Sci. 46, 832 (2018). https://doi.org/10.1109/TPS.2017.2763965
Khusroo, M., Bora, M.P.: Plasma Phys. Control. Fusion 57, 115005 (2015). https://doi.org/10.1088/0741-3335/57/11/115005
Kodanova, S.K., Bastykova, N.Kh., Ramazanov, T.S., Nigmetova, G.N., Maiorov, S.A., Moldabekov, Zh.A.: IEEE Trans. Plasma Sci. 47, 3052 (2019). https://doi.org/10.1109/TPS.2019.2916303
Kundu, N.R., Masud, M.M., Ashrafi, K.S., Mamun, A.A.: Astrophys. Space Sci. 343, 279–287 (2013). https://doi.org/10.1007/s10509-012-1223-2
Laedke, E.W., Spatschek, K.H.: Phys. Fluids 25, 985 (1982). https://doi.org/10.1063/1.863853
Lee, L.C., Kan, J.R.: Phys. Fluids 24, 430 (1981). https://doi.org/10.1063/1.863389
Liu, Z., Dezhen, W., Gennady, M.: Nucl. Mater. Energy 12, 530 (2017). https://doi.org/10.1016/j.nme.2016.11.030
Mahmood, S., Hussain, S., Masood, W., Saleem, H.: Phys. Scr. 79, 045501 (2009). https://doi.org/10.1088/0031-8949/79/04/045501
Meister, C.-V.: Astron. Nachr. 316(5), 295 (1995). https://doi.org/10.1002/asna.2103160508
Morooka, M.W., Wahlund, J.-E., Hadid, L.Z., Eriksson, A.I., Edberg, N.J.T., Vigren, E., Andrews, D.J., Persoon, A.M., Kurth, W.S., Gurnett, D.A., Farrell, W.M., Waite, J.H., Perryman, R.S., Perry, M.: J. Geophys. Res. Space Phys. 124(3), 1679–1697 (2019). https://doi.org/10.1029/2018JA026154
Pierrard, V., Lazar, M.: Sol. Phys. 267, 153 (2010). https://doi.org/10.1007/s11207-010-9640-2
Poria, S., Ghosh, S.: Phys. Plasmas 23, 062315 (2016). https://doi.org/10.1063/1.4954381
Pradhan, B., Saha, A., Natiq, H.N., Banerjee, S.: Z. Naturforsch. A 76, 109 (2021). https://doi.org/10.1515/zna-2020-0224
Pradhan, B., Abdikian, A., Saha, A.: Eur. Phys. J. D 75, 48 (2021). https://doi.org/10.1140/epjd/s10053-021-00045-3
Rosenberg, M., Mendis, D.A.: J. Geophys. Res. 97(E9), 14773 (1992). https://doi.org/10.1029/92JE01313
Saha, A., Chatterjee, P.: Eur. Phys. J. D 69, 203 (2015). https://doi.org/10.1140/epjd/e2015-60115-7
Saha, A., Tamang, J., Wu, G-C., Banerjee, S.: Commun. Theor. Phys. 72, 115501 (2020). https://doi.org/10.1088/1572-9494/aba256
Sahu, B., Poria, S., Ghosh, U.N., Roychoudhury, R.: Phys. Plasmas 19, 052306 (2012). https://doi.org/10.1063/1.4714804
Shahmansouri, M., Alinejad, H.: Phys. Plasmas 19, 123701 (2012). https://doi.org/10.1063/1.4769850
Samanta, U.K., Saha, A., Chatterjee, P.: Phys. Plasmas 20, 022111 (2013a). http://link.aip.org/link/doi/10.1063/1.4791660
Samanta, U.K., Saha, A., Chatterjee, P.: Phys. Plasmas 20, 052111 (2013b). https://doi.org/10.1063/1.4804347
Sultana, S., Islam, S., Mamun, A.A., Schlickeiser, R.: Phys. Plasmas 26, 012107 (2019). https://doi.org/10.1063/1.5059364
Summers, D., Thorne, R.M.: Phys. Fluids B 3, 1835 (1991). https://doi.org/10.1063/1.859653
Ur-Rehman, H., Mahmood, S.: Astrophys. Space Sci. 361, 292 (2016). https://doi.org/10.1007/s10509-016-2882-1
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968). https://doi.org/10.1029/JA073i009p02839
Washimi, H., Tanuiti, T.: Phys. Rev. Lett. 17, 996 (1966). https://doi.org/10.1103/PhysRevLett.17.996
Witt, E., Lotko, W.: Phys. Fluids 26, 2176 (1983). https://doi.org/10.1063/1.864400
Wolf, A., Swift, J.B., Swinney, H.L., Vastano, J.A.: Phys. D: Nonlinear Phenom. 16, 285 (1985). https://doi.org/10.1016/0167-2789(85)90011-9
Zakharov, V.E., Kuznetsov, E.A.: Zh. Eksp. Teor. Fiz. 66, 594 (1974a) [Sov. Phys. -JETP 39, 285 (1974)]
Zhen, H.-L., Tian, B., Wang, Y.-F., Sun, W.-R., Liu, L.-C.: Phys. Plasmas 21, 073709 (2014). https://doi.org/10.1063/1.4885380
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This work was supported in part by the Ministère de l’Enseignement Supérieur et de la Recherche Scientifique Contract No. B00L02UN160420200004.
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Zerglaine, N., Aoutou, K. & Zerguini, T.H. Chaotic dynamics of dust-ion acoustic wave in magnetized dusty plasma with anisotropic ion pressure. Astrophys Space Sci 366, 72 (2021). https://doi.org/10.1007/s10509-021-03979-7
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DOI: https://doi.org/10.1007/s10509-021-03979-7