Ion acoustic solitary waves and double layers in a plasma with two temperature electrons featuring Tsallis distribution

Abstract

The propagation properties of large amplitude ion acoustic solitary waves (IASWs) are studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with nonextensive distribution. Employing Sagdeev pseudopotential method, an energy balance equation has been derived and from the expression for Sagdeev potential function, ion acoustic solitary waves and double layers are investigated numerically. The Mach number (lower and upper limits) for the existence of solitary structures is determined. Positive as well as negative polarity solitary structures are observed. Further, conditions for the existence of ion acoustic double layers (IADLs) are also determined numerically in the form of the critical values of qc, f and the Mach number (M). It is observed that the nonextensivity of electrons (via qc,h), concentration of electrons (via f) and temperature ratio of cold to hot electrons (via β) significantly influence the characteristics of ion acoustic solitary waves as well as double layers.

Effect of nonextensivity on the characteristics of supersolitons in a two‐temperature electron plasma

“…Even, Tsallis nonextensive formalism provides the missing link for Kappa distribution from fundamental physics . A good number of research works with q ‐nonextensive particle distribution to study the solitary structures and double layers in both magnetized and unmagnetized space plasmas have been devoted in the recent years. The basic features of the ion‐acoustic solitons and double layers are found to be significantly modified in the presence of nonextensive electrons enabling a good fit between theory and experiment in the context of astrophysical and space plasmas .…”

“…A good number of research works with q ‐nonextensive particle distribution to study the solitary structures and double layers in both magnetized and unmagnetized space plasmas have been devoted in the recent years. The basic features of the ion‐acoustic solitons and double layers are found to be significantly modified in the presence of nonextensive electrons enabling a good fit between theory and experiment in the context of astrophysical and space plasmas . Recently, Saini et al studied dust kinetic Alfven solitary waves and dust kinetic Alfven rogue waves in an electron depleted dusty plasma with two‐temperature nonextensive ions for the first time by using reductive perturbation method, which may provide a deeper insight to understand the nonlinear coherent structures in the Saturn's F‐ring in the background of nonextensive distribution .…”

“…Small‐amplitude positive and negative ion‐acoustic KdV solitons were reported by Saini and Shalini in an unmagnetized plasma with two‐temperature electrons both featuring Tsallis nonextensive distribution. Later, they studied large‐amplitude ion‐acoustic solitons and double layers in the same model by using Sagdeev pseudopotential approach in the context of astrophysical and space plasmas . Shalini and Saini investigated both positive and negative solitons double layers at different plasma parameters in their model.…”

“…The basic features of the ion-acoustic solitons and double layers are found to be significantly modified in the presence of nonextensive electrons enabling a good fit between theory and experiment in the context of astrophysical and space plasmas. [34][35][36][37][38][39][40] Recently, Saini et al studied dust kinetic Alfven solitary waves and dust kinetic Alfven rogue waves in an electron depleted dusty plasma with two-temperature nonextensive ions for the first time by using reductive perturbation method, which may provide a deeper insight to understand the nonlinear coherent structures in the Saturn's F-ring in the background of nonextensive distribution. [41] Later, the effect of polarization force on the above-mentioned nonlinear structures was reported in a dusty plasma considering nonextensive electrons and ions.…”

“…Later, they studied large-amplitude ion-acoustic solitons and double layers in the same model by using Sagdeev pseudopotential approach in the context of astrophysical and space plasmas. [39] Shalini and Saini [39] investigated both positive and negative solitons double layers at different plasma parameters in their model. However, they have not reported supersoliton in their studies.…”