Abstract:
A nonlinear theory of electrostatic waves in symmetric plasma is constructed using the gasdynamic (adiabatic) description of dynamics of plasma components, as well as the Sagdeev pseudopotential method. The possibility of existence of stationary solitary electrostatic waves of both polarities of potential is demonstrated; in so doing, the sufficient condition of this is the absence of equilibrium between plasma components or the inequality of their adiabatic exponents. The boundaries are determined of the region in the parameter space, in which solitary waves are possible, as well as their limiting velocities. The profiles of basic physical quantities in the wave are calculated.
Citation:
V. A. Gordienko, A. E. Dubinov, “The gasdynamic approach in the nonlinear theory of electrostatic waves in symmetric plasma”, TVT, 45:6 (2007), 814–824; High Temperature, 45:6 (2007), 740–750
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\by V.~A.~Gordienko, A.~E.~Dubinov
\paper The gasdynamic approach in the nonlinear theory of electrostatic waves in symmetric plasma
\jour TVT
\yr 2007
\vol 45
\issue 6
\pages 814--824
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\transl
\jour High Temperature
\yr 2007
\vol 45
\issue 6
\pages 740--750
\crossref{https://doi.org/10.1134/S0018151X0706003X}
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Linking options:
https://www.mathnet.ru/eng/tvt1203
https://www.mathnet.ru/eng/tvt/v45/i6/p814
This publication is cited in the following 13 articles:
Alexander E. Dubinov, “Gas-dynamic approach to the theory of non-linear ion-acoustic waves in plasma with Kaniadakis' distributed species”, Advances in Space Research, 71:1 (2023), 1108
Alexander E. Dubinov, “Mathematical tricks for pseudopotentials in the theories of nonlinear waves in plasmas”, Physics of Plasmas, 29:2 (2022)
Khalili S., Hasanbeigi A., Sobhanian S., “Nonlinear Propagation of Electrostatic Waves in Alkali-Fullerene Plasmas”, Plasma Phys. Rep., 47:3 (2021), 298–305
Dubinov A.E., Suslova V O., “on the Existence of Hypersonic Electrostatic Solitons (Estimation of Limiting Mach Numbers of Ion-Sound Solitons in a Warm Plasma)”, J. Exp. Theor. Phys., 131:5 (2020), 844–852
Danielson J.R., Dubin D.H.E., Greaves R.G., Surko C.M., “Plasma and Trap-Based Techniques For Science With Positrons”, Rev. Mod. Phys., 87:1 (2015), 247–306
T Kaladze, S Mahmood, Hafeez Ur-Rehman, “Acoustic nonlinear periodic (cnoidal) waves and solitons in pair-ion plasmas”, Phys. Scr., 86:3 (2012), 035506
Marzieh Mottaghizadeh, Parvin Eslami, “Cylindrical and spherical ion-acoustic solitons in electron-positive ion-negative ion plasmas”, Indian J Phys, 86:1 (2012), 71
Frank Verheest, Manfred A. Hellberg, Nareshpal Singh Saini, Ioannis Kourakis, “Large acoustic solitons and double layers in plasmas with two positive ion species”, Physics of Plasmas, 18:4 (2011)
E. F. El-Shamy, R. Sabry, W. M. Moslem, P. K. Shukla, “Head-on collision of ion-acoustic solitary waves in multicomponent plasmas with positrons”, Physics of Plasmas, 17:8 (2010), 082311
S. K. El-Labany, E. F. El-Shamy, R. Sabry, M. Shokry, “Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions”, Astrophys Space Sci, 325:2 (2010), 201
Kashif Arshad, S. Mahmood, “Electrostatic ion waves in non-Maxwellian pair-ion plasmas”, Physics of Plasmas, 17:12 (2010)
S. Mahmood, S. Hussain, Arshad M. Mirza, “Electrostatic pair-ion solitons in nonplanar geometries”, Physics of Plasmas, 17:3 (2010), 034504
S. Mahmood, H. Ur-Rehman, “Formation of electrostatic solitons, monotonic, and oscillatory shocks in pair-ion plasmas”, Physics of Plasmas, 17:7 (2010), 072305