Dust acoustic solitary waves with superthermal electrons in cylindrical and spherical geometry

Ghosh, Debidas; Chatterjee, Prasanta; Das, Brindaban

doi:10.1007/s12648-012-0137-8

Cited by 8 publications

(7 citation statements)

References 42 publications

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“…if μ b =0 and u b0 =0), and neglecting the effect of ions (i.e. μ i =0), then the results obtained are well matched with the findings of Ghosh et al [29].…”

Section: Nonplanar Kdv Equationsupporting

confidence: 87%

Nonplanar dust acoustic solitary and rogue waves in an ion beam plasma with superthermal electrons and ions

Kaur

Singh

Ghai

et al. 2018

Plasma Sci. Technol.

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The propagation characteristics of dust acoustic solitary and rogue waves are investigated in an unmagnetized ion beam plasma with electrons and ions following kappa-type distribution in nonplanar geometry. The reductive perturbation method (RPM) is employed to derive the cylindrical/spherical Korteweg-de Vries (KdV) equation, which is further transformed into standard KdV equation by neglecting the geometrical effects. Using new stretching coordinates, nonlinear Schrödinger equation (NLSE) has been derived from the standard KdV equation to study the different order rational solutions of dust acoustic rogue waves (DARWs). The impact of various physical parameters on the characteristics of dust acoustic solitary waves (DASWs) is elaborated specifically in nonplanar geometry. Further, the effects of ion beam and superthermality of electrons/ions on the characteristics of DARWs are studied. The results obtained in the present investigation may be useful in comprehending a variety of phenomena in Earth's magnetosphere polar cap region where the presence of positive ion beam has been detected and also in other regions of space/astrophysical environments where dust along with superthermal electrons and ions exists.

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“…if μ b =0 and u b0 =0), and neglecting the effect of ions (i.e. μ i =0), then the results obtained are well matched with the findings of Ghosh et al [29].…”

Section: Nonplanar Kdv Equationsupporting

confidence: 87%

Nonplanar dust acoustic solitary and rogue waves in an ion beam plasma with superthermal electrons and ions

Kaur

Singh

Ghai

et al. 2018

Plasma Sci. Technol.

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“…The empirical results have shown the signature of the fast particle in the space [9,5,6,7,8] and laboratory DPM. These fast particles are governed by the super-thermal/κ-distribution which first introduced by the Vasyliunas [9].…”

Section: Introductionmentioning

confidence: 90%

“…Plasma physicists have encountered with dust-acoustic (DA) waves (DAWs), [1][2][3] dust-ion-acoustic (DIA) waves (DIAWs), [4] and DIA cnoidal waves (DIA-CWs) [5] as well as their associated non-linear structures such as shock, solitary, [1,2] and double layers (DLs) [6,7] to manifest the non-linear intrinsic properties of an electron-positron-ion-dust (EPID) plasma medium in the presence of highly energetic positrons. [1][2][3][4] The empirical results have shown the signature of the fast particles in the space [5][6][7][8][9] and laboratory DPM. These fast particles are governed by the super-thermal/ -distribution that was first introduced by the Vasyliunas.…”

Section: Introductionmentioning

confidence: 99%

“…Dutta and Goswami demonstrated DIA DLs in a four component DPM, and highlighted that the amplitude of the DLs rigorously depends on the number density of the negative dust as well as super‐thermality of the electrons. Ghosh et al reported DA SWs (DASWs) in a multi‐component plasmas, and found that the amplitude of the SWs decreases with κ .…”

Section: Introductionmentioning

confidence: 99%

“…Saini and Sethi [5] examined DIA-CWs in a four components DPM, and found that the width and amplitude of the DIA-CWs decrease with increasing the value of κ. Alam et al [6] investigated solitary waves (SWs) and DLs regarding DIAWs in a DPM in presence of superthermal electrons, and observed that the amplitude of the negative DLs potential increases with super-thermal parameter κ. Dutta and Goswami [7] demonstrated DIA DLs in a four components DPM, and highlighted that the amplitude of the DLs rigourously depends on the number density of the negative dust as well as super-thermality of the electrons. Ghosh et al [8] reported DA SWs (DASWs) in a multi-component plasmas, and found that the amplitude of the SWs decreases with κ.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dust‐acoustic envelope solitons in super‐thermal plasmas

Noman

Chowdhury

Mannan

et al. 2019

Contributions to Plasma Physics

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The modulational instability (MI) of the dust‐acoustic waves (DAWs) in an electron‐positron‐ion‐dust plasma (containing super‐thermal electrons, positrons, and ions along with negatively charged adiabatic dust grains) is investigated by the analysis of the non‐linear Schrödinger equation (NLSE). To derive the NLSE, the reductive perturbation method was employed. Two different parametric regions for stable and unstable DAWs are observed. The presence of super‐thermal electrons, positrons, and ions significantly modifies both the stable and unstable regions. The critical wave number kc (at which MI sets in) depends on the super‐thermal electron, positron, and ion, and adiabatic dust concentrations.

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Nonplanar KdV and KP equations for quantum electron–positron–ion plasma

Dutta

2015

Astrophys Space Sci

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Dust acoustic solitary waves with superthermal electrons in cylindrical and spherical geometry

Cited by 8 publications

References 42 publications

Nonplanar dust acoustic solitary and rogue waves in an ion beam plasma with superthermal electrons and ions

Nonplanar dust acoustic solitary and rogue waves in an ion beam plasma with superthermal electrons and ions

Dust‐acoustic envelope solitons in super‐thermal plasmas

Nonplanar KdV and KP equations for quantum electron–positron–ion plasma

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