Abstract
Dynamical behavior of ion-acoustic waves (IAWs) is explored in magnetized Auroral zone plasma comprising ions and two-temperature electrons. Employing reductive perturbation technique (RPT), Kadomtsev–Petviashvili (KP) and modified KP (mKP) equations are derived. By considering a typical set of parameters for the Auroral zone, all probable phase plots for unperturbed and perturbed dynamical systems are analyzed. Numerical and analytical wave solutions corresponding to distinct phase trajectories of the unperturbed system are presented. Effectiveness of spectral index (\(\kappa \)) and velocity of IAWs on the properties of solitary-wave solutions of KP and mKP equations are also examined. For Maxwellian limit, the system has no superperiodic wave structures in the subsonic region. Numerical computation reveals that the influence of an external perturbation results in existence of only quasiperiodic orbits for the system corresponding to the KP equation whereas various coexisting orbits exist for the system analogous to the mKP equation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Adnan M., Mahmood S., Qamar A. 2014, Adv. Space Res., 53, 845
Anzo-Hernández A., Gilardi-Velázquez H. E., Campos-Cantón E. 2018, Chaos Interdiscip. J. Nonlinear Sci., 28, 033613
Arecchi F. T., Meucci R., Puccioni G., Tredicce J. 1982, Phys. Rev. Lett., 49, 1217
Baboolal S., Bharuthram R., Hellberg M. A. 1990, J. Plasma Phys., 44, 1
Baluku T. K., Hellberg M. A., Verheest F. 2010, EPL (Europhys. Lett.), 91, 15001
Berthomier M., Pottelette R., Malingre M. 1998, J. Geophys. Res.: Space Phys., 103, 4261
Bharuthram R., Shukla P. K. 1986, Phys. Scr., 34, 732
Cattel C. A., Crumley J., Dombeck J., Lysak R., Kletzing C., Peterson W. K., Collin C. 2001, Adv. Space Res., 28, 1631
Chapagai D. P., Tamang J., Saha A. 2019, Z. Naturforschung A, 75, 183
Chow S. N., Hale J. K. 1981, Method of Bifurcation Theory. Springer, New York
Christon S. P., Mitchell D. G., Williams D. J., Frank L. A., Huang C. Y., Eastman T. E. 1988, J. Geophys. Res., 93, 2562
Collier M. R. 2004, Adv. Space Res., 33, 2108
Das G. C., Sarma J., Uberoi C. 1997, Phys. Plasmas, 4, 2095
Das A., Saha A. 2018, Comput. Math. Appl., 76, 1174
El-Tantawy S. A., Moslem W. M. 2011, Phys. Plasmas, 18, 112105
Ergun R. E., Carlson C. W., McFadden J. P. et al. 1998, Geophys. Res. Lett. 25, 2041
Feldman W. C., Anderson R. C., Asbridge J. R., Bame S. J., Gosling J. T., Zwickl R. D. 1982, J. Geophys. Res., 87, 632
Feldman W. C., Anderson R. C., Bame S. J. Gary S. P., Gosling J. T., McComas D. J., Thomsen M. F., Paschmann G., Hoppe M. M. 1983, J. Geophys. Res., 88, 96
Ghosh S. S., Lakhina G. S. 2004, Nonlinear Processes in Geophysics, European Geosciences Union (EGU), 11, 219
Guckenheimer J., Holmes P. J. 1983, Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields. Springer-Verlag, New York.
He S., Banerjee S., Sun K. 2019, Eur. Phys. J. Spec. Top. 228, 195
Ichiki R., Shindo M., Yoshimura S., Watanabe T., Kawai Y. 2001, Phys. Plasmas, 8, 4275
Ikezi H., Taylor R. J., Baker D. R. 1970, Phys. Rev. Lett., 25, 11
Koepke M. E. 2002, Phys. Plasmas, 9, 2420
Lakhina G. S., Singh S., Solitary waves in plasmas described by kappa distributions, Kappa Distributions: Theory and Applications in Plasmas, Ed. George Livadiotis, 1st Edition, Elsevier eBook, p. 399, https://doi.org/10.1016/B978-0-12-804638-8.00009-7
Lakhina G. S., Singh S. V., Rubia R., Sreeraj T. 2018, Phys. Plasmas, 25, 080501
Lin M., Duan W., 2005, Chaos, Solitons Fractals, 23, 929
Livadiotis G. 2015, J. Geophys. Res. Space Phys., 120, 1607
Mace R. L., Hellberg M. A. 1995, Phys. Plasmas 2, 2098
Mandi L., Saha A., Chatterjee P. 2019, Adv. Space Res., 64, 427
McFadden J. P., Carlson C. W., Ergun R. 1999, J. Geophys. Res.: Space Phys., 104, 14453
Merlino R. L., Barkan A., Thompson C., D’Angelo N. 1998, Phys. Plasmas, 5, 1607
Natiq H., Banerjee S., Misra A. P., Said M. R. M. 2019, Chaos Solitons Fractals, 122, 58
Natiq H., Banerjee S., Ariffin M. R. K., Said M. R. M. 2019, Chaos Interdiscip. J. Nonlinear Sci. 29, 011103
Natiq H., Said M. R. M., Ariffin M. R. K., He S., Rondoni L., Banerjee S. 2018, Eur. Phys. J. Plus 133, 557
Nejoh Y. 1992, IEEE Trans. Plasma Sci., 20, 80
Pierrard V., Lemaire J. 1996, J. Geophys. Res. Space Phys., 101, 7923
Prasad P. K., Gowrisankar A., Saha A., Banerjee S. 2020, Phys. Scr., 95, 065603
Rahim M. F. A., Natiq H., Fataf N. A. A., Banerjee S. 2019, Eur. Phys. J. Plus 134, 499
Reddy R. V., Lakhina G. S., Verheest F. 1992, Planet. Space Sci., 40, 1055
Revathy P. 1977, Solar Phys., 53, 445
Rubia R., Singh S. V., Lakhina G. S. 2016, Phys. Plasmas, 23, 062902
Rubia R., Singh S. V., Lakhina G. S. 2017, Phys. Plasmas, 25, 032302
Rubia R., Singh S. V., Lakhina G. S. 2018, J. Geophys. Res. Space Phys., 122, 9134
Rufai O. R., Bharuthram R., Singh S. V., Lakhina G. S. 2012, Phys. Plasmas, 19, 122308
Rufai O. R., Bharuthram R., Singh S. V. Lakhina, G. S. 2015, Phys. Plasmas, 22, 102305
Saha A., Chatterjee P., Wong C. S. 2015, Braz. J. Phys., 45, 656
Saha A., Ali R., Chatterjee P. 2017, Adv. Space Res., 60, 1220
Saha A., Prasad P. K. Banerjee S. 2019, Astrophys. Space Sci. 364, 180
Saha A., Pradhan B., Banerjee S. 2020a, Eur. Phys. J. Plus 135, 216
Saha A., Pradhan B., Banerjee S. 2020b, Phys. Scr. 95, 055602
Saha A., Sarkar S., Banerjee S., Mondal K. K. 2020c, Eur. Phys. J. Spec. Top. 229, 979
Saini N. S., Kourakis I., Hellberg M. A. 2009, Phys. Plasmas, 16, 062903
Selim M. M., El-Depsy A., El-Shamy E. F., 2015, Astrophys. Space Sci. 360, 66
Samanta U. K., Saha A., Chatterjee P. 2013, Phys. Plasmas 20, 022111
Singh S. V., Devanandhan S., Lakhina G. S., Bharuthram R. 2013, Phys. Plasmas, 20, 012306
Singh S. V., Lakhina G. S. 2015, Commun. Nonlinear Sci. Numer. Simul., 23, 274
Song Y., Yuan F., Li Y. 2019, Entropy, 21, 678
Summers D., Thorne R. M. 1991, Phys. Fluids B: Plasma Phys., 3, 1835
Sun H., Ma L., Wang L. 1995, Phys. Rev. E, 51, 3475
Tamang J., Sarkar K., Saha A. 2018, Phys. A: Stat. Mech. Appl., 505, 18
Temerin M., Cerny K., Lotko W., Mozer F. S. 1982, Phys. Rev. Lett., 48, 1175
Vasyliunas V. M. 1968, J. Geophys. Res., 73, 2839
Verheest F., Hellberg M. A., Kourakis I. 2013, Phys. Plasmas, 20, 082309
Vinas A. F., Wong H. K., Klimas A. J. 2000, Astrophys. J., 528, 509
Witt E., Lotko W. 1983, Phys. Fluids 26, 2176
Wolf A., Swift J. B., Swinney H. L., Vastano J. A. 1985, Phys. D: Nonlinear Phenomena, 16, 285
Yadav L. L., Tiwari R. S., Maheshwari K. P., Sharma S. R. 1995, Phys. Rev. E, 52, 3045
Yan B., Prasad P. K., Saha A., Banerjee S. 2020, Complexity, 2020, 5428548
Acknowledgements
The first author is grateful to Sikkim Manipal Institute of Technology (SMIT) and Sikkim Manipal University (SMU) for providing research fellowship under TMA Pai University Research Fund (Ref. No. 118/SMU/REG/UOO/104/2019).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Prasad, P.K., Saha, A. Dynamical behavior and multistability of ion-acoustic waves in a magnetized Auroral zone plasma. J Astrophys Astron 42, 9 (2021). https://doi.org/10.1007/s12036-021-09721-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12036-021-09721-7