Nucleus-acoustic envelope solitons and their modulational instability in a degenerate quantum plasma system

Chowdhury, N. A.; Hasan, Monirul; Mannan, A.; Mamun, A. A.

doi:10.1016/j.vacuum.2017.10.004

Cited by 50 publications

(83 citation statements)

References 53 publications

(31 reference statements)

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“…We have also observed that the amplitude of the DA envelope solitons remains constant but the width of the DA envelope solitons changes with the variation of the various plasma parameters. Our results have a good agreement with the previous work …”

Section: Resultssupporting

confidence: 93%

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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Section: Resultssupporting

confidence: 93%

Dust‐acoustic envelope solitons in super‐thermal plasmas

Noman

Chowdhury

Mannan

et al. 2019

Contributions to Plasma Physics

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“…The independent variables are stretched as ξ = ǫ(x − v g t) and τ = ǫ 2 t, where ǫ is a small expansion parameter and v g is the group velocity of the IAWs. The dependent variables [13] can be expressed as…”

Section: Model Equationsmentioning

confidence: 99%

Dust-acoustic Rogue Waves in Four-Component Plasmas

et al. 2020

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A theoretical investigation has been made on modulational instability (MI) and dust-acoustic (DA) rogue waves (DARWs) in a four dusty plasma medium containing inertial negatively charged massive heavy (light) cold (hot) dust grains as well as superthermal electrons and non-thermal ions. The reductive perturbation method is used to derive the nonlinear Schrödinger equation, and two types of modes, namely fast and slow DA modes, have been observed. The conditions for the MI and the formation of associated DARWs are found to be significantly modified by the effects of non-thermality of ions (α), super-thermality of electrons (κ), density-ratio of non-thermal ion to cold dust (µ i ), and mass-ratio of cold dust to hot dust (σ), etc. The implications of our current investigation in space and laboratory plasmas are briefly discussed.

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“…Now, by substituting Eqs. (8)- (14) into Eqs. (1)-(2), and (7), and collecting the terms containing ǫ, the first order (m = 1 with l = 1) reduced equations can be written as…”

Section: Derivation Of the Nlsementioning

confidence: 99%

“…The stable and unstable parametric regimes of DAWs are organized by the sign of P and Q of Eq. (28) [14,15,16,17,18,19,20]. When P and Q have same sign (i.e., P/Q > 0), the evolution of the DAWs amplitude is modulationally unstable in presence of the external perturbations.…”

Section: Modulational Instability and Rogue Wavesmentioning

confidence: 99%

Dust-acoustic rogue waves in non-thermal plasmas

et al. 2020

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The nonlinear propagation of dust-acoustic (DA) waves (DAWs) and associated DA rogue waves (DARWs), which are governed by the nonlinear Schrödinger equation, is theoretically investigated in a four component plasma medium containing inertial warm negatively charged dust grains and inertialess non-thermal distributed electrons as well as iso-thermal positrons and ions. The modulationally stable and unstable parametric regimes of DAWs are numerically studied for the plasma parameters. Furthermore, the effects of temperature ratios of ion-to-electron and ion-to-positron, and the number density of ion and dust grains on the DARWs are investigated. It is observed that the physical parameters play a very crucial role in the formation of DARWs. These results may be useful in understanding the electrostatic excitations in dusty plasmas in space and laboratory situations.

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Nucleus-acoustic envelope solitons and their modulational instability in a degenerate quantum plasma system

Cited by 50 publications

References 53 publications

Dust‐acoustic envelope solitons in super‐thermal plasmas

Dust‐acoustic envelope solitons in super‐thermal plasmas

Dust-acoustic Rogue Waves in Four-Component Plasmas

Dust-acoustic rogue waves in non-thermal plasmas

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