Large amplitude ion-acoustic solitons in warm negative ion plasmas with superthermal electrons

Abstract

Large amplitude ion-acoustic solitons are investigated in a plasma consisting of warm adiabatic positive and negative-ions and hot superthermal electrons having kappa distributions. Using Pseudo-potential method an energy integral equation is derived for the system. The latter is analysed to examine the existence regions of the solitary waves. It is found that negative ion concentration (α), spectral index (k) and ionic temperature ratio (σ1 or σ2) significantly influence the characteristic of the solitons. Our numerical analysis shows that the system also supports rarefactive solitons for some selected set of plasma parameters. It is also found that large amplitude ion-acoustic compressive and rarefactive solitons exist simultaneously for the same values of plasma parameters. Further an increase in the superthermality (i.e. decreasing the value of spectral index k) leads to shrinking the existing domain of the large amplitude ion-acoustic solitons. The amplitude of the compressive/rarefactive solitons increases with the increase in negative ion concentration (α). Whereas, on increasing ionic temperature ratio (σ1 or σ2) the amplitude of the compressive/rarefactive soliton decreases. The effect of negative-ion concentration (α), temperature ratio of two ion species (σ1 and σ2), Mach number (M) and spectral index (k) on the characteristics of solitons are discussed in detail. The results of the present investigation may be helpful to understand the nonlinear ion-acoustic solitary waves in space plasma and laboratory plasmas, where two distinct groups of ions and non-Boltzmann distribution electrons are present.

Stability and bifurcation analysis of low‐frequency electrostatic waves in warm negative ion plasmas

“…This finding is a similar result as obtained earlier in the warm negative ion plasmas with superthermal electrons. [31,32] Phase trajectories above a single separatrix (homoclinic orbit) in Figure 3 also indicate large amplitude supernonlinear periodic orbit which correspond to the excitation of supernonlinear periodic waves, as shown in Figure 6. The amplitude of such highly nonlinear pattern can decrease gradually until to nearest homoclinic orbit in dissipative plasmas.…”

Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

“…Eliminate the second-order perturbed quantities n (2) j and v (2) j take using the next order continuity equations, the z-component of the momentum equations, and the Poisson equation, applying the first-and second-order solutions, we can take the following KdV equation (1) + a (1) (1)…”

“…Nonlinear solitary waves propagate as solitons without changing their shape due to exact balance of nonlinear steeping and group velocity dispersion through a dispersive medium. [1][2][3][4][5] The formation and propagation of ion-acoustic (IA) solitons have been investigated experimentally and theoretically. [5][6][7][8][9][10][11][12] The structure of weakly nonlinear IA solitons that may be determined by KdV equation utilizing reductive perturbation method for small but finite amplitude limit have been shown by Washimi and taniuti for the first time.…”

“…[5][6][7][8][9][10][11][12] The structure of weakly nonlinear IA solitons that may be determined by KdV equation utilizing reductive perturbation method for small but finite amplitude limit have been shown by Washimi and taniuti for the first time. [2,4,[13][14][15][16] During the past decade, there have been many papers dealing with electron-acoustic (EA) waves. [17][18][19][20][21][22][23][24] The EA wave is an electrostatic wave has been observed in the laboratory when the plasma is composed of positive ions and two populations electrons with different temperatures will be referred to in the following as cold and hot electrons.…”

Effects of Boundary of Cylindrical Waveguide and Nonthermal Electrons on the Ion Acoustic Double Layers in Multicomponent Bounded Plasma

“…In the last few years, ion acoustic solitary waves (SWs) and double layers (DLs) have been theoretically studied by various authors considering different parameters in plasma, e.g., ion temperature, two-temperature electrons, positrons, beam ions, and magnetic field. But, the presence of negative ions [1][2][3] and nonthermal electrons [4][5][6][7][8] in plasma is found to be most interesting on the formation of SWs and DLs. It is noted that most of the works are done in an infinite or unbounded plasma.…”