Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves

Guo, Shenyang; Mei, Liquan; Sun, Anbang

doi:10.1016/j.aop.2013.01.016

Cited by 51 publications

(33 citation statements)

References 50 publications

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“…Also, they found that the super rogue waves w 2 may be more real than the first one (w 1 Þ in fields concerned with nonlinear dispersive media, e.g., in optics, plasma physics, and superfluidity. Furthermore, Guo et al 45 studied the nonlinear propagation of planar ion-acoustic rogue waves (IARWs) in an unmagnetized electron-positron-ion dust plasma. They investigated the influence of the plasma parameters on the nonlinear structures of the first-and second-order IARW solutions within the modulational unstability region.…”

Section: Rational Solutions Of the Nlsementioning

confidence: 99%

Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

2015

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Cylindrical and spherical amplitude modulations of dust acoustic (DA) solitary wave envelopes in a strongly coupled dusty plasma containing nonthermal distributed ions are studied. Employing a reductive perturbation technique, a modified nonlinear Schrödinger equation including the geometrical effect is derived. The influences of nonthermal ions, polarization force, and the geometries on the modulational instability conditions are analyzed and the possible rogue wave structures are discussed in detail. It is found that the spherical DA waves are more structurally stable to perturbations than the cylindrical ones. Possible applications of these theoretical findings are briefly discussed.

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Section: Rational Solutions Of the Nlsementioning

confidence: 99%

Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

2015

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“…A large amount of attention has been devoted in various areas to study this freak wave which appear in superfluid helium, Bose-Einstein condensates, ocean, 17 and plasma physics. [18][19][20][21] Tribeche et al 22 made an attempt to study the characteristics of ion-acoustic (IA) solitons in the frame work of Tsallis distribution. Bains et al 23 extended the same work and studied the modulational instability of IA solitons.…”

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confidence: 99%

Modulational instability of ion-acoustic waves in plasma with a q-nonextensive nonthermal electron velocity distribution

2015

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Modulation instability of ion-acoustic waves (IAWs) is investigated in a collisionless unmagnetized one dimensional plasma, containing positive ions and electrons following the mixed nonextensive nonthermal distribution [Tribeche et al., Phys. Rev. E 85, 037401 (2012)]. Using the reductive perturbation technique, a nonlinear Schrödinger equation which governs the modulation instability of the IAWs is obtained. Valid range of plasma parameters has been fixed and their effects on the modulational instability discussed in detail. We find that the plasma supports both bright and dark solutions. The valid domain for the wave number k where instabilities set in varies with both nonextensive parameter q as well as non thermal parameter α. Moreover, the analysis is extended for the rational solutions of IAWs in the instability regime. Present study is useful for the understanding of IAWs in the region where such mixed distribution may exist.

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“…To study the MI of DAWs, we will derive the NLSE by employing the standard multiple scale (reductive perturbation) technique . Let A be the state (column) vector ( n d , u d , ϕ ) T , describing the system's state at a given position x and instant t. We shall consider small deviations from the equilibrium state A (0) = (1, 0, 0) T by taking …”

Section: Derivation Of Nlsementioning

confidence: 99%

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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Nonlinear ion-acoustic structures in a nonextensive electron–positron–ion–dust plasma: Modulational instability and rogue waves

Cited by 51 publications

References 50 publications

Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Instability of nonplanar modulated dust acoustic wave packets in a strongly coupled nonthermal dusty plasma

Modulational instability of ion-acoustic waves in plasma with a q-nonextensive nonthermal electron velocity distribution

Dust‐acoustic envelope solitons in super‐thermal plasmas

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