Electrostatic dust‐acoustic envelope solitons in an electron‐depleted plasma

Shikha, R.K.; Chowdhury, N. A.; Mannan, A.; Mamun, A. A.

doi:10.1002/ctpp.202000117

Cited by 9 publications

(12 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To study the MI of the DIAWs, we want to derive the NLSE by employing the RPM. First, we can write the stretched co-ordinates in the following form [37][38][39]…”

Section: Derivation Of the Nlsementioning

confidence: 99%

See 1 more Smart Citation

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

Gases

View full text Add to dashboard Cite

The standard nonlinear Schrödinger Equation (NLSE) is one of the elegant equations to find detailed information about the modulational instability criteria of dust-ion-acoustic (DIA) waves and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium with inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that the plasma system supports both fast and slow DIA modes under consideration of inertial warm ions along with inertial negatively charged dust grains. It is also found that the modulationally stable parametric regime decreases with κ. The numerical analysis has also shown that the amplitude of the first and second-order DIARWs decreases with ion temperature. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

show abstract

“…To study the MI of the DIAWs, we want to derive the NLSE by employing the RPM. First, we can write the stretched co-ordinates in the following form [37][38][39]…”

Section: Derivation Of the Nlsementioning

confidence: 99%

“…where k and ω are the real variables representing the carrier wave number and frequency, respectively. The derivative operators can be written as [37][38][39] ∂ ∂x…”

Section: Derivation Of the Nlsementioning

confidence: 99%

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Noman

Islam

Hassan

et al. 2021

Gases

View full text Add to dashboard Cite

show abstract

“…The reductive perturbation method is applicable to derive the standard NLSE as well as to study the MI of the DAWs in a four-component EDDPM. The stretched co-ordinates, to develop a standard NLSE, can be written as [39][40][41][42]…”

Section: Derivation Of the Nlsementioning

confidence: 99%

“…where v g is the group velocity and is a small parameter which measures the nonlinearity of the plasma medium. Then, the dependent variables can be written as [39][40][41][42]…”

Section: Derivation Of the Nlsementioning

confidence: 99%

“…The modulational instability (MI) of the carrier waves, energy re-distribution and localization are governed by the standard nonlinear Schrödinger equation (NLSE) [35][36][37][38][39][40][41][42]. Sultana and Kourakis [35] examined the electron-acoustic (EA) envelope solitons in a plasma medium with super-thermal electrons, and found that the stable domain of EA waves decreases with increasing κ. Ahmed et al [36] reported IAWs in a four-component plasma medium, and highlighted that the critical wave number (k c ) increases with a decrease in the value of κ. Saini and Kourakis [38] demonstrated the MI of the DAWs as a DPM with super-thermal ions, and obtained that excess super-thermality of the ions leads to a narrower envelope of solitons.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electrostatic Dust-Acoustic Rogue Waves in an Electron Depleted Dusty Plasma

Sikta

Chowdhury

Mannan

et al. 2021

Plasma

View full text Add to dashboard Cite

The formation of gigantic dust-acoustic (DA) rouge waves (DARWs) in an electron depleted unmagnetized opposite polarity dusty plasma system is theoretically predicted. The nonlinear Schrödinger equation (NLSE) is derived by employing the reductive perturbation method. It is found that the NLSE leads to the modulational instability (MI) of DA waves (DAWs), and to the formation of DARWs, which are caused by to the effects of nonlinearity and dispersion in the propagation of DAWs. The conditions for the MI of DAWs and the basic properties of the generated DARWs are numerically identified. It is also seen that the striking features (viz., instability criteria, amplitude and width of DARWs, etc.) of the DAWs are significantly modified by the effects of super-thermality of ions, number density, mass and charge state of the plasma species, etc. The results obtained from the present investigation will be useful in understanding the MI criteria of DAWs and associated DARWs in electron depleted unmagnetized opposite polarity dusty plasma systems like Earth’s mesosphere (where the D-region plasma could suffer from electron density depletion), cometary tails, Jupiter’s magnetosphere, and F-ring of Saturn, etc.

show abstract

Modulational instability of dust‐ion‐acoustic waves in pair‐ion plasma having non‐thermal non‐extensive electrons

Islam

Noman

Akter

et al. 2021

Contributions to Plasma Physics

Self Cite

View full text Add to dashboard Cite

The modulational instability (MI) criteria of dust-ion-acoustic (DIA) waves (DIAWs) have been investigated in a four-component pair-ion plasma having inertial pair ions, inertialess non-thermal non-extensive electrons, and immobile negatively charged massive dust grains. A nonlinear Schrödinger equation (NLSE) is derived by using reductive perturbation method. The nonlinear and dispersive coefficients of the NLSE can predict the modulationally stable and unstable parametric regimes of DIAWs and associated first and second-order DIA rogue waves (DIARWs). The MI growth rate and the configuration of the DIARWs are examined, and it is found that the MI growth rate increases (decreases) with increasing the number density of the negatively charged dust grains in the presence (absence) of the negative ions. It is also observed that the amplitude and width of the DIARWs increase (decrease) with the negative (positive) ion mass. The implications of the results to laboratory and space plasmas are briefly discussed.

show abstract

Electrostatic dust‐acoustic envelope solitons in an electron‐depleted plasma

Cited by 9 publications

References 28 publications

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Electrostatic Dust-Acoustic Rogue Waves in an Electron Depleted Dusty Plasma

Modulational instability of dust‐ion‐acoustic waves in pair‐ion plasma having non‐thermal non‐extensive electrons

Contact Info

Product

Resources

About