Arbitrary Amplitude Dust–Ion Acoustic Solitary Structures in Five Components Unmagnetized Plasma

Abstract

The energy integral derived by using Sagdeev pseudo-potential technique has been analyzed to investigate the existence of arbitrary amplitude dust–ion acoustic solitons including double layers and supersolitons in a collisionless five components unmagnetized plasma. The plasma system contains warm adiabatic ions, two distinct populations of electrons at different temperatures, nonthermal hot positron species, and negatively charged static dust grains. The graphical analysis of Sagdeev pseudo-potential shows the existence of positive potential supersolitons (PPSS) along with positive potential double layers (PPDLs) and positive potential solitary waves (PPSWs) whereas in the negative potential side, the system does not support negative potential supersolitons but the existence of negative potential double layers (NPDLs), negative potential solitary waves (NPSWs), the coexistence of both PPSWs and NPSWs, and super-nonlinear periodic waves have been established. To explain the existence of different DIA solitary structures, phase portraits of the dynamical system corresponding to the different DIA solitary structures have been drawn. With the help of phase portraits, the transition of PPSWs just before and just after the formation of PPDL has been discussed. We have seen that the amplitude of PPSW decreases with increasing ${{\beta }_{e}}$, ${{\beta }_{p}}$, and ${{\sigma }_{{sc}}}$ and it increases with increasing ${{\sigma }_{{pc}}}$ whereas there exists a critical value $n_{{pc}}^{c}$ of ${{n}_{{pc}}}$ such that the amplitude of PPSW decreases (increases) with increasing ${{n}_{{pc}}}$ for ${{n}_{{pc}}} < n_{{pc}}^{c}$ ($n_{{pc}}^{c} < {{n}_{{pc}}}$) for a fixed value of the Mach number M in the region of existence of PPSWs. Effects of parameters have been considered on the amplitude of NPSWs and PPSS also.