Abstract
Properties of ion and electronacoustic solitons are investigated in an unmagnetized multicomponent plasma system consisting of cold and hot electrons and hot ions using the Sagdeev pseudopotential technique. The analysis is based on fluid equations and the Poisson equation. Solitary wave solutions are found when the Mach numbers exceed some critical values. The critical Mach numbers for the ionacoustic solitons are found to be smaller than those for electronacoustic solitons for a given set of plasma parameters. The critical Mach numbers of ionacoustic solitons increase with the increase of hot electrontemperature and the decrease of cold electron density. On the other hand, the critical Mach numbers of electronacoustic solitons increase with the increase of the cold electron density as well as the hot electrontemperature. The ionacoustic solitons have positive potentials for the parameters considered. However, the electronacoustic solitons have positive or negative potentials depending whether the fractional cold electron density with respect to the ion density is greater or less than a certain critical value. Further, the amplitudes of both the ion and electronacoustic solitons increase with the increase of the hot electrontemperature. Possible application of this model to electrostatic solitary waves observed on the auroral field lines by the Viking spacecraft is discussed.
G.S.L. thanks the Council of Scientific and Industrial Research, Government of India, for the support under the Emeritus Scientist scheme. F.V. thanks the Indian Institute of Geomagnetism for its kind hospitality when the paper was finalized and also the Fonds voor Wetenschappelijk Onderzock (Vlaanderen) for a research grant.
I. INTRODUCTION
II. MODEL
III. NONLINEAR ELECTROSTATIC SOLITARY WAVES (ESWS)
IV. DISCUSSION
Key Topics
 Plasma solitons
 43.0
 Mach numbers
 16.0
 Hot carriers
 15.0
 Plasma waves
 12.0
 Electron beams
 11.0
Figures
Plot of critical Mach numbers obtained from Eq. (7) vs cold electron to ion number density ratio for the parameters, and , 1.0, and 0.1 for the curves 1, 2, and 3, respectively. Here, flow velocity of all species is taken as 0. The dashed curves are for the ionacoustic modes, whereas the solid curves are for the electronacoustic modes. The soliton solutions exist only in a small region above each curve.
Plot of critical Mach numbers obtained from Eq. (7) vs cold electron to ion number density ratio for the parameters, and , 1.0, and 0.1 for the curves 1, 2, and 3, respectively. Here, flow velocity of all species is taken as 0. The dashed curves are for the ionacoustic modes, whereas the solid curves are for the electronacoustic modes. The soliton solutions exist only in a small region above each curve.
(a) Ionacoustic solitons for plasma parameters, , , and , and for the Mach number , 1.767, 1.768, 1.769 for the curves 1, 2, 3, and 4, respectively. (b) Electronacoustic solitons for the same plasma parameters as in Fig. 2(a), but for the Mach number , 94.0, and 95.0 for the curves 1, 2, and 3, respectively.
(a) Ionacoustic solitons for plasma parameters, , , and , and for the Mach number , 1.767, 1.768, 1.769 for the curves 1, 2, 3, and 4, respectively. (b) Electronacoustic solitons for the same plasma parameters as in Fig. 2(a), but for the Mach number , 94.0, and 95.0 for the curves 1, 2, and 3, respectively.
(a) Ionacoustic solitons for the same plasma parameters as in Fig. 2(a) except that . The Mach number , 1.7435, 1.7440 for the curves 1, 2, and 3, respectively. (b) Electronacoustic solitons for the same plasma parameters as in Fig. 3(a), and for the Mach number , 160.0, and 162.0 for the curves 1, 2, and 3, respectively.
(a) Ionacoustic solitons for the same plasma parameters as in Fig. 2(a) except that . The Mach number , 1.7435, 1.7440 for the curves 1, 2, and 3, respectively. (b) Electronacoustic solitons for the same plasma parameters as in Fig. 3(a), and for the Mach number , 160.0, and 162.0 for the curves 1, 2, and 3, respectively.
Variation of , the maximum value of corresponding to (beyond which solitary solutions do not exist) vs hot electron to ion temperature ratio, for the case of , .
Variation of , the maximum value of corresponding to (beyond which solitary solutions do not exist) vs hot electron to ion temperature ratio, for the case of , .
Shows variation of the electronacoustic potential vs for , , and for , 1.0, and 5.0 for the curves 1, 2, and 3, respectively. The Mach number , 53.40, and 119.0 for the curves 1, 2, and 3, respectively.
Shows variation of the electronacoustic potential vs for , , and for , 1.0, and 5.0 for the curves 1, 2, and 3, respectively. The Mach number , 53.40, and 119.0 for the curves 1, 2, and 3, respectively.
Shows the variation of the ionacoustic potential vs for , , and for , 1.0, and 5.0 for the curves 1, 2, and 3, respectively. Here, the Mach number for all the curves.
Shows the variation of the ionacoustic potential vs for , , and for , 1.0, and 5.0 for the curves 1, 2, and 3, respectively. Here, the Mach number for all the curves.
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