Dust-acoustic Gardner solitons and double layers in dusty plasmas with nonthermally distributed ions of two distinct temperatures

Abstract

A rigorous theoretical investigation has been performed on dust-acoustic (DA) solitary structures in an unmagnetized dusty plasma, consisting of negatively charged mobile dust grains, Boltzmann distributed electrons, and nonthermally distributed ions of two distinct temperatures. The Korteweg-de Vries (K-dV), modified K-dV (mK-dV) and Gardner equations, and their solitary waves (SWs) and double layer (DL) (in case of Gardner equation) solutions are derived by using the reductive perturbation technique. The basic features of the DA Gardner solitons (GSs) and DLs are studied analytically as well as numerically. It has been observed that the GSs significantly differ from K-dV and mK-dV solitons, and only positive potential DLs exist in the system. It is also studied that two-temperature nonthermal ions significantly modify the nature and basic properties of the DA SWs. The present investigation can be very effective for understanding and studying the nonlinear characteristics of the DA waves in laboratory and space dusty plasmas.

Rogue waves in space dusty plasmas

“…soliton, shock, vortices, and rogue profile, etc.) that are observed in dusty plasma system [5,6]. DAWs which arises due to the inertia of the the dust mass and restoring force is provided by the thermal pressure of ions and electrons.…”

Dust-Acoustic Solitary Waves in a Magnetized Dusty Plasma With Ions Of Distinct Temperatures

“…Dorranian and Sabetkar [42]have also studied the properties of DA solitons considering an unmagnetized dusty plasma system containing negatively charged dust and two nonthermal ion species at different temperatures deriving the Kadomtsev-Petviashivili (KP) equation. The effects of external magnetic field, obliqueness, and arbitrarily charged dust on the solitary structures in dusty plasmas with ions of different temperatures are not discussed at all in these works [26,41,42]. In this investigation, we have considered the propagation of highly nonlinear dust-acoustic solitary waves (DASWs) in a magnetized dusty plasma consisting of negatively charged dust fluid, Boltzmann distributed electrons, and nonthermal ions of distinct temperatures.…”

“…The above cited works [5,24,25,27] are confined to negatively charged dust and nonthermal ions or electrons of single temperature only. But the existence of two-temperature ions [26,28,29,[31][32][33]41]or electrons [34,[36][37][38] which are common to occur in both space environments [36,39,40]and laboratory plasmas [35,36] are the topic of recent interest. Recently, Tasnimet al have studied the effects of distinct temperature nonthermal ions on DA solitary [26]and shock [41]structures, respectively, in unmagnetized dusty plasmas with negatively charged dust.…”

“…But the existence of two-temperature ions [26,28,29,[31][32][33]41]or electrons [34,[36][37][38] which are common to occur in both space environments [36,39,40]and laboratory plasmas [35,36] are the topic of recent interest. Recently, Tasnimet al have studied the effects of distinct temperature nonthermal ions on DA solitary [26]and shock [41]structures, respectively, in unmagnetized dusty plasmas with negatively charged dust. Dorranian and Sabetkar [42]have also studied the properties of DA solitons considering an unmagnetized dusty plasma system containing negatively charged dust and two nonthermal ion species at different temperatures deriving the Kadomtsev-Petviashivili (KP) equation.…”

Dust ion-acoustic shock waves in magnetized pair-ion plasma with kappa distributed electrons

“…This type of electronegative plasmas are found in astrophysical environments and can also be produced in laboratory. The nonlinear structures in electronegative plasma in the presence or absence of magnetic field are studied by many researchers [7][8][9]. Usually, nonlinear structures in plasmas are studied by considering Boltzmann distributed electrons due to its lighter mass as compared to heavy ions.…”