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Propagation of ion-acoustic solitons in an electron beam-superthermal plasma system with finite ion-temperature: Linear and fully nonlinear investigation
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10.1063/1.4795745
/content/aip/journal/pop/20/3/10.1063/1.4795745
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/3/10.1063/1.4795745
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A schematic plot of the Kappa distribution function for some value of the spectral index , from high superthermality (low values of ) up to the Maxwelian limit ( ). In a superthermal distribution, the particles have distributed in a wider spectrum of the velocities, in comparison with the Maxwellian one (solid curve).

Image of FIG. 2.
FIG. 2.

Variation of the linear dispersion for IA waves for various values of , from high superthemal electrons (small values of ) to pseudo-Maxwellian ones (high values of ) for , , , and .

Image of FIG. 3.
FIG. 3.

Variation of the threshold Mach number (a) versus the ion temperature for and , (b) versus the electron-beam density for and , and (c) versus the electron-beam velocity for and . From bottom to top, the dotted curve corresponds to , dashed to , dotted-dashed to , and solid to .

Image of FIG. 4.
FIG. 4.

Variation of upper Mach number limit with respect to the ion temperature for and . From bottom to top, the dotted curve corresponds to , dashed to , dotted-dashed to , and solid to . The dependence of on the beam parameters, i.e., and is not considerable.

Image of FIG. 5.
FIG. 5.

The allowed Mach number (M) range of existence of the IA solitary waves in the plane with and . From bottom to top, the dotted curve represents the lower limit in the case (no beam), the solid curve displays for and the dashed curve shows the upper limit for , or (the dependence of on the beam parameters, i.e., and , is not considerable). The soliton may occur in the region between the top and middle curves for a warm plasma including electron-beam or between the top and bottom curves for a warm e-i plasma.

Image of FIG. 6.
FIG. 6.

Variation of the Sagdeev pseudo-potential with respect to the superthermality index for , , (a) in positive potential regions with , and (b) in negative potential regions with . Profiles of the soliton potential (c) for positive structures corresponding to the graph “a,” and (d) for negative structures corresponding to the graph “b.” (e) Variation of maximum amplitude of the IA solitons ( ) versus for , and .

Image of FIG. 7.
FIG. 7.

Variation of the Sagdeev pseudo-potential with respect to the ion temperature for , , (a) in positive potential regions with , and (b) in negative potential regions with . Profiles of the soliton potential (c) for positive structures corresponding to the graph “a,” and (d) for negative structures corresponding to the graph “b.”

Image of FIG. 8.
FIG. 8.

Variation of the Sagdeev pseudo-potential with respect to the soliton speed for , , , and (a) in positive potential regions, and (b) in negative potential regions. Profiles of the soliton potential (c) for positive structures corresponding to the graph “a,” and (d) for negative structures corresponding to the graph “b.” (e) Variation of the maximum amplitude of the IA solitons versus for , , .

Image of FIG. 9.
FIG. 9.

Variation of (a) the Sagdeev pseudo-potential and (b) the soliton profile with respect to the electron-beam density for negative structures with , , , and . (Variation of the positive potential structures with respect to the electron-beam density is not noticeable.)

Image of FIG. 10.
FIG. 10.

Variation of maximum amplitude of the IA solitons versus the electron-beam density with , , , and (a) for positive IA solitons and (b) for negative IA solitons.

Image of FIG. 11.
FIG. 11.

Variation of the Sagdeev pseudo-potential with respect to the electron-beam velocity for negative potential structures with , , , and (a) for co-propagating solitons, and (b) for counter-propagating solitons. Profiles of the soliton potential (c) corresponding to the graph “a,” and (d) corresponding to the graph “b.” (No noticeable change versus is seen for positive structures.)

Image of FIG. 12.
FIG. 12.

Variation of maximum amplitude of the IA solitons versus the electron-beam velocity with , , , and (a) for positive IA excitations and (b) for negative IA excitations.

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/content/aip/journal/pop/20/3/10.1063/1.4795745
2013-03-19
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Propagation of ion-acoustic solitons in an electron beam-superthermal plasma system with finite ion-temperature: Linear and fully nonlinear investigation
http://aip.metastore.ingenta.com/content/aip/journal/pop/20/3/10.1063/1.4795745
10.1063/1.4795745
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