Journal of Applied and Computational Mechanics

Some Models in Unmagnetized Plasma involving Kaniadakis Distributed Electrons and Temperature Ratio: Dust Ion Acoustic Solitary Waves

Document Type : Research Paper

Authors

1 Department of Mathematics, Gauhati University, Guwahati-781014, Assam, India

2 Department of Mathematics, Arya Vidyapeeth College, Guwahati-781016, Assam, India

3 Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

4 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

5 Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey

6 Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

7 Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, Turkey

8 Institute of Space Sciences-Subsidiary of INFLPR, Magurele-Bucharest, Romania

Abstract

The current paper studies the influence of the temperature ratio of ion-to-electron α, dust concentration μ, and κ- deformed parameter on dust ion acoustic solitary waves in an unmagnetized plasma with Kaniadakis distributed electrons. More precisely, the reductive perturbation technique is utilized to extract the Korteweg-de Vries and modified Korteweg-de Vries equations. Both compressive and rarefactive Korteweg-de Vries solitons are found to exist in the ranges 0 < μ ≤ 0.677 and 0.677 < μ < 1, respectively, and only compressive modified Korteweg-de Vries solitons in the range 0 < μ ≤ 0.11. In an unmagnetized plasma with Kaniadakis distributed electrons, the influence of the ion-to-electron temperature ratio on dust ion acoustic solitary waves can have several fascinating applications and consequences in plasma physics and astrophysics. 

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

[1] Ikezi, H., Taylor, R.J., Baker, R.D., Formation and interaction of ion-acoustic solutions, Physical Review Letters, 25, 1970, 11.
[2] Ikezi, H., Experiments on ion‐acoustic solitary waves, Physics of Fluids, 16, 1973, 1668–1675.
[3] Tran, M.Q., Ion acoustic soliton in plasma: A review a review of their experimental properties and related theories, Physica Scripta, 20, 1979, 317.
[4] Misra, A.P., Bhowmik, C., Nonplanar ion-acoustic waves in a quantum plasma, Physics Letters A, 369, 2007, 90–97.
[5] Kakati, M., Goswami, K.S., Solitary wave structures in presence of nonisothermal ions in a dusty plasma, Physics of Plasmas, 5, 1998, 4508–4510.
[6] Shukla, P.K., Nonlinear waves and structure in dusty plasma, Physics of Plasmas, 10, 2003, 1619–1627.
[7] El-Shamy, E.F., Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations, Chaos Solitons & Fractals, 25, 2005, 665–674.
[8] Yang, X., Wang, C., Lu, C., Zhang, J., Shi, Y., The collision effect between dust grains and ions to the dust ion acoustic waves in a dusty plasma, Physics of Plasmas, 19, 2012, 103705.
[9] Washimi, H.R., Taniuti, T., Propagation of ion acoustic solitary waves of small amplitude, Physical Review Letters, 17, 1966, 996–998.
[10] Taniuti, T., Reductive perturbation method and far fields of wave equations, Progress of Theoretical Physics Supplement, 55, 1974, 1–35.
[11] Kraenkel, R.A., Pereira, J.G., Manna, M.A., The reductive perturbation method and the Korteweg-deVries hierarchy, Acta Applicandae Mathematicae, 39, 1995, 389–403.
[12] Leblond, H., The reductive perturbation method and some of its applications, Journal of Physics B Atomic Molecular and Optical Physics, 41, 2008, 043001.
[13] Rahman, A., Khalid, M., Zeb, A., Compressive and rarefactive ion acoustic nonlinear periodic waves in nonthermal plasma, Brazilian Journal of Physics, 49, 2019, 726–736.
[14] Khalid, M., Rahman, A., Hadi, F., Zeb, A., Nonlinear ion flux caused by dust ion-acoustic nonlinear periodic waves in non-thermal plasma, Pramana Journal of Physics, 92, 2019, 86.
[15] Khalid, M., Rahman, A., Ion acoustic cnoidal waves in a magnetized plasma in the presence of ion pressure anisotropy, Astrophysics and Space Science, 364, 2019, 28.
[16] Ullah, G., Saleem, M., Khan, M., Khalid, M., Rahman, A., Nabi, S., Ion acoustic solitary waves in magnetized electron-positron-ion plasma with tasllis distribution, Contributions to Plasma Physics, 60, 2020, e202000068.
[17] Rahman, A., Khalid, M., Naeem, S.N., Elghmaz, E.A., ElTantawy, S.A., El-Sherif, L.S., Periodicand localized structures in a degenerate Thomas–Fermi plasma, Physics Letters A, 384, 2020, 126257.
[18] Khalid, M., Hadi, F., Rahman, A., Ion-scale cnoidal waves in a magnetized anisotropic superthermal plasma, Journal of Physical Society of Japan, 88, 2019, 114501.
[19] Mendis, D.A., Cometary plasma processes, AGU Monograph American Geophysical Union, Washington DC, 61, 1991, 375.
[20] Pieper, J.B., Goree, J., Dispersion of plasma dust acoustic waves in the strong-coupling regime, Physical Review Letters, 77, 1996, 3137–3140.
[21] Rosenberg, M., Merlino, R.L., Ion-acoustic instability in a dusty negative ion plasma, Planetary and Space Science, 55, 2007, 1464–1469.
[22] Renyi, A., Probability Theory, North Holland, Amsterdam, 1970.
[23] Aczel, J., Daroczy, Z., On Measures of Information and Their Characterizations, Academic Press, New York, 1975.
[24] Tsallis, C., Nonextensive statistical mechanics: Construction and physical interpretation, Journal of Statistical Physics, 52, 1988, 479.
[25] Tsallis, C., Cirto, L.J.L., Black hole thermodynamical entropy, The European Physical Journal C, 73, 2013, 2487.
[26] Kaniadakis, G., Non-linear kinetics underlying generalized statistics, Journal of Physics A: Mathematical and Theoretical, 296, 2001, 405–425.
[27] Ourabah, K., Tribeche, M., Planck radiation law and Einstein coefficients reexamined in Kaniadakis κ statistics, Physical Review E, 89, 2014, 062130.
[28] Ourabah, K., Hamici-Bendimerad, A.H., Tribeche, M., Quantum entanglement and Kaniadakis entropy, Physica Scripta, 90, 2015, 045101.
[29] Kaniadakis, G., Statistical mechanics in the context of special relativity, Physical Review E, 66, 2002, 056125.
[30] Teweldeberhan, A.M., Miller, H.G., Tegen, R., κ-deformed statistics and the formation of a quark-gluon plasma, International Journal of Modern Physics E, 12, 2003, 669–673.
[31] Rossani, A., Scarfone, A.M., Generalized kinetic equations for a system of interacting atoms and photons: theory and simulations, Journal of Physics A: Mathematical and Theoretical, 37, 2004, 4955.
[32] Biro, T.S., Kaniadakis, G., Two generalizations of the Boltzmann equation, European Physical Journal B, 50, 2006, 3–6.
[33] Samanta, U.K., Saha, A., Chatterjee, P., Bifurcations of dust ion acoustic travelling waves in a magnetized dusty plasma with a q-nonextensive electron velocity distribution, Physics of Plasmas, 20, 2013, 022111.
[34] Saha, A., Chatterjee, P., Bifurcations of ion acoustic solitary waves and periodic waves in an unmagnetized plasma with kappa distributed multi-temperature electrons, Astrophysics and Space Science, 350, 2014, 631–636.
[35] Saha, A., Chatterjee, P., Bifurcations of ion acoustic solitary and periodic waves in an electron-positron- ion plasma through non-perturbative approach, Journal of Plasma Physics, 80, 2014, 553–563.
[36] Lourek, I., Tribeche, M., On the role of the κ-deformed Kaniadakis distribution in nonlinear plasma waves, Journal of Physics A: Mathematical and Theoretical, 441, 2016, 215–220.
[37] Saha, A., Tamang, J., Qualitative analysis of the positron-acoustic waves in electron-positron-ion plasmas with κ-deformed Kaniadakis distributed electrons and hot positrons, Physics of Plasmas, 24, 2017, 082101.
[38] Khalid, M., El-Tantawi, S.A., Rahman, A., Oblique ion acoustic excitations in a magnetoplasma having κ-deformed Kaniadakis distributed electrons, Astrophyics and Space Science, 365, 2020, 75.
[39] Khalid, M., Khan, A., Khan, M., Hadi, F., Ata-ur-Rahman., Dust ion acoustic solitary waves in unmagnetized plasma with Kaniadakis distributed electrons, Brazilian Journal of Physics, 51, 2021, 60–65.
[40] Alkhateeb, S.A., Hussain, S., Albalawi, W., El-Tantawy, S.A., El-Awady, E.I., Dissipative Kawahara ion-acoustic solitary and cnoidal waves in a degenerate magnetorotating plasma, Journal of Taibah University for Science, 17, 2023, 2187606.
[41] Alhejaili, W., Naeem, I., Masood, B., Ismaeel, S.M.E., El-Tantawy, S.A., Tripolar vortices in inhomogeneous magnetoplasmas in the presence of non-Maxwellian electron distributions, Physics of Fluids, 35, 2023, 073108.
[42] Ali, I., Masood, W., Rizvi, H., Alrowaily, A.W., Ismaeel, S.M.E., El-Tantawy, S.A., Archipelagos, islands, necklaces, and other exotic structures in external force-driven chaotic dusty plasmas, Chaos, Solitons & Fractals, 175, 2023, 113931.
[43] Almutlak, S.A., Khalid, M., El-Tantawy, S.A., Nonplanar ion-acoustic solitary and cnoidal waves in a non-Maxwellian plasma: Study on nonplanar (modified) Kawahara equation, Journal of Low Frequency Noise, Vibration and Active Control, 2023, doi.10.1177/14613484231217892.
[44] Almutlak, S.A., Parveen, S., Mahmood, S., Qamar, A., Alotaibi, B.M., El-Tantawy, S.A., On the propagation of cnoidal wave and overtaking collision of slow shear Alfvén solitons in low β magnetized plasmas, Physics of Fluids, 35, 2023, 075130.
[45] Alyousef, H.F., Khan, A., Ata-ur-Rahman, El-Tantawy, S.A., Effect of orbital angular momentum dust-ion-acoustic waves in a superthermal plasma, Physics of Fluids, 35, 2023, 063109.
[46] Hammad, M.A., Khalid, M., Alrowaily, A.W., Tiofack, C.G.L., El-Tantawy, S.A., Ion-acoustic cnoidal waves in a non-Maxwellian plasma with regularized κ-distributed electrons, AIP Advances, 13, 2023, 105127.
[47] Hashmi, T., Jahangir, R., Masood, W., Alotaibi, B.M., Ismaeel, S.M.E., El-Tantawy, S.A., Head-on collision of ion-acoustic (modified) Korteweg-de Vries solitons in Saturn’s magnetosphere plasmas with two temperature superthermal electrons, Physics of Fluids, 35, 2023, 103104.
[48] Irshad, M., Ata-ur-Rahman, Khalid, M., Khan, S., Alotaibi, B.M., El-Sherif, S.A., El-Tantawy, S.A., Effect of κ-deformed Kaniadakis distribution on the modulational instability of electron-acoustic waves in a non-Maxwellian plasma, Physics of Fluids, 35, 2023, 105116.
[49] Tariq, M.S., Masood, W., Siddiq, M., Asghar, S., Alotaibi, B.M., Ismaeel, S.M.E., El-Tantawy, S.A., Bäcklund transformation for analyzing a cylindrical Korteweg-de Vries equation and investigating multiple soliton solutions in a plasma, Physics of Fluids, 35, 2023, 103105.
[50] Hosseini, K., Alizadeh, F., Sadri, K., Hinçal, E., Akbulut, A., Alshehri, H.M., Osman, M.S., Lie vector fields, conservation laws, bifurcation analysis, and Jacobi elliptic solutions to the Zakharov–Kuznetsov modified equal-width equation, Optical and Quantum Electronics, 56, 2024, 506.
Journal of Applied and Computational Mechanics

Articles in Press, Corrected Proof
Available Online from 24 April 2024