Abstract
The main motivation of this work is to investigate the existence of arbitrary-amplitude nucleus-acoustic (NA) supernonlinear waves in a degenerate plasma system consisting of light and heavy nuclei and non-relativistic degenerate electrons. To achieve this objective, we plot phase portraits of the dynamical system and their corresponding Sagdeev’s pseudopotential curves for different values of Mach number. Distinct topology of phase portraits along with two minima separated by a maxima in Sagdeev’s pseudopotential curve ensure existence of NA supernonlinear waves. Further, we discuss influence of Mach number on periodic, superperiodic, solitary and supersolitary wave solutions.
Keywords
- Supersoliton
- Supernonlinear periodic trajectory
- Supernonlinear homoclinic trajectory
- Phase plane analysis
Supported by Sikkim Manipal Institute of Technology.
This is a preview of subscription content, access via your institution.
Buying options
References
Shapiro, S.L., Teukolsky, S.A.: Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects. Wiley, New York (1983)
Koester, D., Chanmugam, G.: Physics of white dwarf stars. Rep. Prog. Phys. 53, 837 (1990)
Van Horn, H.M.: Dense astrophysical plasmas. Science 252, 384 (1991)
Vanderburg, A., Johnson, J.A., Rappaport, S., Bieryla, A., Irwin, J., Lewis, J.A., Kipping, D., Brown, W.R., Dufour, P., Ciardi, D.R., Angus, R., Schaefer, L., Latham, D.W., Charbonneau, D., Beichman, C., Eastman, J., McCrady, N., Wittenmyer, R.A., Wright, J.T.: A disintegrating minor planet transiting a white dwarf. Nature 526, 546 (2015)
Jannat, S., Mammun, A.A.: Nucleus-acoustic shock waves in white dwarfs. Pramana J. Phys. 90, 51 (2018)
Chandrasekhar, S.: The density of white dwarf stars. Philos. Mag. Ser. 7(11), 592 (1931)
Chandrasekhar, S.: The maximum mass of ideal white dwarfs. Astrophys. J. 74, 81 (1931)
Sultana, S., Schlickeiser, R.: Arbitrary amplitude nucleus-acoustic solitons in multi-ion quantum plasmas with relativistically degenerate electrons. Phys. Plasmas 25, 022110 (2018)
Mamun, A.A., Amina, M., Schlickeiser, R.: Nucleus-acoustic shock structures in a strongly coupled self-gravitating degenerate quantum plasma. Phys. Plasmas 23, 094503 (2016)
Zaman, D.M.S., Amina, M., Dip, P.R., Mamun, A.A.: Planar and non-planar nucleus-acoustic shock structures in self-gravitating degenerate quantum plasma systems. Eur. Phys. J. Plus 132, 457 (2017)
Zaman, D.M.S., Amina, M., Dip, P.R., Mamun, A.A.: Nucleus-acoustic solitary waves in self-gravitating degenerate quantum plasmas. Chin. Phys. B 27, 040402 (2018)
Samanta, U.K., Saha, A., Chatterjee, P.: Bifurcations of dust-ion-acoustic travelling waves in a magnetized quantum dusty plasma. Astrophys. Space Sci. 347, 293 (2013)
Sahu, B., Poria, S., Roychoudhury, R.: Solitonic, quasi-periodic and periodic pattern of electron acoustic waves in quantum plasma. Astrophys. Space Sci. 341, 567 (2012)
El-Labany, S.K., El-Taibany, W.F., Atteya, A.: Bifurcation analysis for ion acoustic waves in a strongly coupled plasma including trapped electrons. Phys. Lett. A 382, 412 (2018)
Saha, A., Pradhan, B., Banerjee, S.: Multistability and dynamical properties of ion-acoustic wave for the nonlinear Schrödinger equation in an electron-ion quantum plasma. Phys. Scr. 95, 055602 (2020)
Dubinov, A.E., Kolotkov, D.Y.: Ion-acoustic supersolitons in plasma. Plasma Phys. Rep. 38, 909 (2012)
Dubinov, A.E., Kolotkov, D.Y.: Ion-acoustic super solitary waves in dusty multispecies plasmas. IEEE Trans. Plasma Sci. 40, 1429 (2012)
Verheest, F., Hellberg, M.A., Kourakis, I.: Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons. Phys. Rev. E 87, 043107 (2013)
Saha, A., Tamang, J.: Effect of q-nonextensive hot electrons on bifurcations of nonlinear and supernonlinear ion-acoustic periodic waves. Adv. Space Res. 63, 1596 (2019)
Tamang, J., Saha, A.: Dynamical behavior of supernonlinear positron-acoustic periodic waves and chaos in nonextensive electron-positron-ion plasmas. Zeitschrift Für Naturforschung A 74, 6 (2019)
Taha, R.M., El-Taibany, W.F.: Bifurcation analysis of nonlinear and supernonlinear dust-acoustic waves in a dusty plasma using the generalized (r, q) distribution function for ions and electrons. Contrib. Plasma Phys. 2020, e202000022 (2020)
Saha, A., Chatterjee, P., Banerjee, S.: An open problem on supernonlinear waves in a two-component Maxwellian plasma. Eur. Phys. J. Plus 135, 801 (2020)
Guckenheimer, J., Holmes, P.J.: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer, New York (1983)
Acknowledgements
Barsha Pradhan is grateful to Sikkim Manipal University for providing TMA Pai Research Grant (Ref. Nos. 118/SMU/REG/UOO/104/2019).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Pradhan, B., Pal, N., Micheal, D.R. (2022). Bifurcation of Nucleus-Acoustic Superperiodic and Supersolitary Waves in a Quantum Plasma. 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_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-99792-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-99791-5
Online ISBN: 978-3-030-99792-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)