Gardner Solitons in a Dusty Plasma

Deeba, F.; Tasnim, S.; Mamun, A. A.

doi:10.1109/tps.2012.2208227

Cited by 25 publications

(22 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now we get the SW solution of the SG equation by substituting (40) in (32), the solution form is [46,47] ∂φ (1)…”

Section: =0mentioning

confidence: 99%

“…Gardner equation was first introduced by Miura [37] in 1976. It is used to investigate the basic properties of finite-amplitude IASWs and double layers (DLs) at the vicinity of some critical parameters as well as near A = 0 [38][39][40]. The IA solitons and DLs in positive and negative ions with nonthermal electrons plasma were studied by Gill et al [38].…”

Section: Introductionmentioning

confidence: 99%

“…Electron-acoustic small-amplitude DLs and solitons were examined in a fully relativistic two-temperature electron plasma by Lee [39]. Most lately, GE in dusty plasma physics has been researched by Deeba et al [40]. El-Taibanyet al found that Gardner solitons (GSs) were either compressive or rarefactive depending on the plasma parameters like the trapping parameter and the polarization coefficient [35].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ion-acoustic gardner solitons and double layers in magnetized electron-positron-ion quantum plasma

Atteya

El‐Borie

Roston

et al. 2020

Journal of Taibah University for Science

View full text Add to dashboard Cite

The nonlinear propagation of ion-acoustic Gardner solitons (GSs) and double layers (DLs) in electron-positron-ion (EPI) plasma in the presence of an external static magnetic field has been examined. The Korteweg-de Vries (KdV), modified KdV (mKdV), and Gardner equations have been derived by the reductive perturbation technique. It is seen that the amplitude, polarity, speed, width of such solitons are significantly modified by the species densities and by the obliquity angle. Compressive or rarefactive KdV solitons are obtained, but only compressive solitons are obtained in the mKdV case, wherever Gardner positive and negative DLs exist. The results of our present investigation may be useful for understanding the nonlinear wave propagation in dense quantum plasmas such as those existing in white dwarfs, neutron stars and intense laser-solid matter interaction experiments as an example of laboratory plasmas.

show abstract

“…Now we get the SW solution of the SG equation by substituting (40) in (32), the solution form is [46,47] ∂φ (1)…”

Section: =0mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Ion-acoustic gardner solitons and double layers in magnetized electron-positron-ion quantum plasma

Atteya

El‐Borie

Roston

et al. 2020

Journal of Taibah University for Science

View full text Add to dashboard Cite

show abstract

“…This assumption (omission of the dust charge fluctuation) is, however, valid for DIA waves, whose frequency is much less or greater than the dust charging frequency. This assumption has been used by many authors for both space and laboratory dusty plasma situations [63,64,[67][68][69][70][71][72][73]. …”

Section: Governing Equationsmentioning

confidence: 99%

Dust-ion-acoustic double layers in multi-ion dusty plasma

Mamun

Deeba

2015

Plasma Phys. Rep.

Self Cite

View full text Add to dashboard Cite

A theoretical investigation has been made on nonplanar (cylindrical and spherical) dust-ionacoustic (DIA) double layers (DLs) in a multi-ion dusty plasma system containing inertial positive and negative ions and arbitrarily charged stationary dust. The dust particles have been considered as arbitrarily (either positively or negatively) charged in order to observe the effects of the dust polarity on the DIA DLs. The ion species were considered to be at different temperatures to observe the effects of the temperatures on that waves. The modified Gardner equation, which has been derived by employing the reductive perturbation method, has been used to analyze time-dependent nonplanar and planar DIA DLs. It has been found that the time evolution of DIA DLs is significantly modified not only by the nonplanar geometry, but also by the polarity, temperature, and mass ratio of the constituent particles. It has been also found that the amplitude of cylindrical DIA DL structures is larger than that of 1D planar ones, but smaller than that of the spherical ones.

show abstract

“…Therefore, in our present work we have employed three different approaches e.g. K-dV (Korteweg-de Vries), mK-dV (mixed K-dV), and Gardner (Deeba et al, 2012) to analysis the entire regime. In all these three approaches, the reductive perturbation method has been employed.…”

Section: Introductionmentioning

confidence: 99%

Planar and Nonplanar Solitons in Multi-Ion Dusty Plasma

Deeba

Islam²,

Mamun

2019

Eng. int. (Dhaka)

Self Cite

View full text Add to dashboard Cite

A rigorous theoretical investigation has been made on nonlinear dust-ionacoustic (DIA) solitary waves (SWs) in a multi-ion dusty plasma system, consisting of inertial positive and negative ions, and arbitrary charged stationary dust. The dust particles have been considered as arbitrarily (either positively or negatively) charged in order to observe the effects of dust polarity on the DIA SWs. Three different approaches (K-dV (Korteweg-de Vries), mK-dV (mixed K-dV), and Gardner) have been employed to analysis the entire regime. The reductive perturbation method has been employed in all these three approaches. Using reductive perturbation method, we first derive K-dV equation which let us to analyze both types (bright and dark) of solitons, but, in a very limited region. After that mK-dV equation has been derived which let us analyze bright soliton for a large region, but cannot show the dark soliton. Finally, we have derived the Gardner equation employing the same method, through which we were able to analyze both the bright and dark solitons for a large region. We also employed the modified Gardner (mG) equation to observe the effects of nonplanar geometry as well as time evolution of SWs. It has been found that both the positive and negative solitons depend on the ion number density of the ions, dust polarity, temperature, as well as time scale. It is also shown that the properties of the nonplanar (cylindrical and spherical) DIA-GSs are significantly different from those of the one dimensional planar ones.

show abstract

Gardner Solitons in a Dusty Plasma

Cited by 25 publications

References 39 publications

Ion-acoustic gardner solitons and double layers in magnetized electron-positron-ion quantum plasma

Ion-acoustic gardner solitons and double layers in magnetized electron-positron-ion quantum plasma

Dust-ion-acoustic double layers in multi-ion dusty plasma

Planar and Nonplanar Solitons in Multi-Ion Dusty Plasma

Contact Info

Product

Resources

About