Nonlinear dynamical properties of solitary wave solutions for Zakharov-Kuznetsov equation in a multicomponent plasma

Authors

  • U.M. Abdelsalam Fayoum University

DOI:

https://doi.org/10.31349/RevMexFis.67.061501

Keywords:

Selected:Zakharov-Kuznetsov equation, multicomponent plasma, ion-acoustic solitary waves, HB method, nonlinear partial differential equation

Abstract

Using the reductive perturbation method, we have derived the Zakharov-Kuznetsov (ZK) equation for a multi-component plasma model consisting of electrons, positrons and the uid ions with positive and negative charges. The extended homogenous balance method has been applied to obtain the soliton solution in addition to many traveling wave solutions. various physical parameters have different effects on the profile of the solitary wave pulses which can show the propagation of the ion acoustic waves in laboratory plasmas and many astrophysical plasma systems as in Earth's ionosphere.

References

H. Massey, Negative Ions (Cambridge U.P., Cambridge, 1976), 3rd ed.; W. Swider, in Ionospheric Modeling, edited by J. N. Korenkov (Birkhauser, Basel, 1988); Yu. I. Portnyagin et al., Adv. Space Sci. Rev. 12 (1992) 121.

P. H. Chaizy et al., Negative ions in the coma of comet Halley, Nature (London) 349 (1991) 393. https://doi.org/10.1038/349393a0

R. A. Gottscho and C. E. Gaebe, Negative ion kinetics in RF glow discharges, IEEE Trans. Plasma Sci. 14 (1986) 92.10.1109/TPS.1986.4316511

U.M. Abdelsalam, W.M. Moslem, A.H. Khater, and P.K. Shukla, Solitary and freak waves in a dusty plasma with negative ions, Physics of Plasmas, 18 (2011) 092305. https://doi.org/10.1063/1.3633910

S.M. Ahmed, E.R. Hassib, U.M. Abdelsalam, R.E. Tolba,W.M. Moslem, Ion-acoustic waves at the night side of Titan’s ionosphere: higher-order approximation, Communications in Theoretical Physics 72 (2020) 055501. https://doi.org/10.1088/1572-9494/ab7701

U. M. Abdelsalam, M S Zobaer, Hasina Akther, M.G.M. Ghazalb, M.M. Fares. Nonlinear Wave Solutions of Cylindrical KdV-Burgers Equation in Nonextensive Plasmas for Astrophysical Objects, Acta Physica Polonica A 137 (2020) 1061. 10.12693/APhysPolA.137.1061

A. Mushtaq, H.A. Shah, N. Rubab, G. Murtaza, Study of obliquely propagating dust acoustic solitary waves in magnetized tropical mesospheric plasmas with effect of dust charge variations and rotation of the plasma, Physics of plasmas 13 (2006) 062903. https://doi.org/10.1063/1.2206547

Q. Jan, A. Mushtaq, M. Farooq, H.A. Shah, Alfv´en solitary waves with effect of arbitrary temperature degeneracy in spin quantum plasma, Physics of Plasmas 25 (2018) 082122. https://doi.org/10.1063/1.5037649

I. Kourakis, W.M. Moslem, U.M. Abdelsalam, R. Sabry, P.K. Shukla, Nonlinear dynamics of rotating multi-component pair plasmas and epi plasmas, Plasma and Fusion Research 4 (2009) 018. https://doi.org/10.1585/pfr.4.018

U.M. Abdelsalam, W.M. Moslem, P.K. Shukla, Ion-acoustic solitary waves in a dense pair-ion plasma containing degenerate electrons and positrons, Physics Letters A 372 (2008) 4057. DOI:10.1016/j.physleta.2008.02.086

R.G. Greaves and C.M. Surko, An Electron-Positron Beam-Plasma Experiment, Phys. Rev. Lett. 75 (1995) 3846. https://doi.org/10.1103/PhysRevLett.75.3846

H.G. Abdelwahed, R. Sabry, A.A. El-Rahman, On the positron superthermality and ionic masses contributions on the wave behaviour

in collisional space plasma, Advances in Space Research 66 (2020) 259. https://doi.org/10.1016/j.asr.2020.03.046

N. A. Chowdhury, A. Mannan, M. M. Hasan, A. A. Mamun, Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas, CHAOS 27 (2017) 093105. https://doi.org/10.1063/1.4985113

N. Ahmed, A. Mannan, N. A. Chowdhury, A. A. Mamun, Electrostatic rogue waves in double pair plasmas, Chaos 28 (2018) 123107. https://doi.org/10.1063/1.5061800

M. S. Alama, M. R. Talukderb, Head-on Collision of Ion-Acoustic Solitary Waves with Two Negative Ion Species in Electron-Positron-Ion Plasmas and Production of Rogue Waves, Plasma Physics Reports, 45 (2019) 871. https://doi.org/10.1134/S1063780X19090010

J. Tamang, A. Saha, Dynamical properties of nonlinear ion-acousticwaves based on the nonlinear Schrödinger equation in a multi-pair nonextensive plasma, Zeitschrift fur Naturforschung A 75 (2020) 687. https://doi.org/10.1515/zna-2020-0018

U.M. Abdelsalam and M. Selim, Ion-acoustic waves in a degenerate multicomponent magnetoplasma, Journal of Plasma Physics, 79 (2013) 163. https://doi.org/10.1017/S0022377812000803

W.M. Moslem, R. Sabry, U.M. Abdelsalam, I. Kourakis and P.K. Shukla, Solitary and blow-up electrostatic excitations in rotating magnetized electron-positron-ion plasmas, New Journal of Physics, 11 (2009) 033028. https://doi.org/10.1088/1367-2630/11/3/033028

V.E. Zakharov, E.A. Kuznetsov, On three-dimensional solitons, Soviet Physics JETP 39 (1974) 285.

A. Mushtaq and H. A. Shah, Nonlinear Zakharov-Kuznetsov equation for obliquely propagating two-dimensional ionacoustic solitary waves in a relativistic, rotating magnetized electron-positron-ion plasma, Phys. Plasmas 12 (2005) 072306. https://doi.org/10.1063/1.1946729

E. Fan, Extended tanh-function method and its applications to nonlinear equations, Phys. Lett. A. 277 (2000) 212. https://doi.org/10.1016/S0375-9601(00)00725-8

FM Allehiany, MM Fares, UM Abdelsalam, MS Zobaer, Solitary and shocklike wave solutions for the Gardner equation in dusty plasmas, Journal of Taibah University for Science 14 (2020) 800. https://doi.org/10.1080/16583655.2020.1776465

R. Sabry, M.A. Zahran and E. Fan, A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation, Phys. Lett. A. 326 (2004) 93. https://doi.org/10.1016/j.physleta.2004.04.002

W.M. Moslem, U.M. Abdelsalam, R. Sabry and P.K. Shukla, Electrostatic structures associated with multicomponent magnetoplasma with stationary dust particles, New J. Phys. 12 (2010) 073010. DOI:10.1088/1367-2630/12/7/073010

J. Zhang, X. Wei, Y. Lu, A generalized G0=G-expansion method and its applicatioons, Phys. Lett. A. 372 (2008) 3653.10.1016/j.physleta.2008.02.027

U.M. Abdelsalam, M S Zobaer; Exact traveling wave solutions of further modified Korteweg De Vries equation in multicomponent plasma. Iranian Journal of Science and Technology, Transactions A 42 (2017) 2175. https://doi.org/10.1007/s40995-017-0367-x

U.M. Abdelsalam, F.M. Allehiany, W.M. Moslem, Nonlinear waves in GaAs semiconductor, Acta Physica Polonica A, 129 (2016) 472. DOI: 10.12693/APhysPolA.129.472

U.M. Abdelsalam, F.M. Allehiany, Different nonlinear solutions of KP equation in dusty plasmas, Arabian Journal for Science and Engineering 43 (2018) 399. https://doi.org/10.1007/s13369-017-2829-z

U.M. Abdelsalam, M.G.M. Ghazal, Analytical wave solutions for foam and KdV-Burgers equations using extended homogeneous balance method, Mathematics 7 (2019) 729. https://doi.org/10.3390/math7080729

M.L. Wang, Solitrary wave solution for variant Boussinesq equation, Phys. Lett. A. 199 (1995) 169. https://doi.org/10.1016/0375-9601(95)00092-H

M.L. Wang, Applicatian of homogeneous balance method to exact solutions of nonlinear equation in mathematical physics,

Phys. Lett. A. 216 (1996) 67. https://doi.org/10.1016/0375-9601(96)00283-6

U.M. Abdelsalam, F.M. Allehiany, W.M. Moslem, and S.K. El-Labany, Nonlinear structures for extended Korteweg-de Vries equation in multicomponent plasma, Pramana- Journal of Physics, 86 (2016) 581. https://doi.org/10.1007/s12043-015-0990-z

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Published

2021-11-01