Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma

Bouzit, Omar; Tribeche, Mouloud

doi:10.1063/1.4933006

Cited by 33 publications

(11 citation statements)

References 34 publications

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“…The observation of these higher-(second-) order rogue waves (RWs) has been verified in laboratory experiment including theoretical investigation [37,38]. Numerous investigations of dust acoustic rogue waves have been reported in different plasma environments [43][44][45][46][47][48][49][50]. Singh and Saini [49] have observed that polarization force controls the MI domain of DA waves in a superthermal dusty plasma.…”

Section: Introductionmentioning

confidence: 84%

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Singh

Saini

2020

Front. Phys.

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In this theoretical investigation, we have examined the combined effects of nonthermally revamped polarization force on modulational instability MI of dust acoustic waves DAWs and evolution of different kinds of dust acoustic (DA) breathers in a dusty plasma consisting of negatively charged dust as fluid, Maxwellian electrons, and ions obeying Cairns’ nonthermal distribution. The nonthermality of ions has considerably altered the strength of polarization force. By employing the multiple-scale perturbation technique, the nonlinear Schrödinger equation NLSE is derived to study modulational MI instability of dust acoustic waves DAWs. It is noticed that influence of the polarization force makes the wave number domain narrow where MI sets in. The rational solutions of nonlinear Schrödinger equation illustrate the evolution of DA breathers, namely, Akhmediev breather, Kuznetsov–Ma breather, and Peregrine solitons (rogue waves). Further, the formation of super rogue waves due to nonlinear superposition of DA triplets rogue waves is also discussed. It is analyzed that combined effects of variation in the polarization force and nonthermality of ions have a comprehensive influence on the evolution of different kinds of DA breathers. It is remarked that outcome of present theoretical investigation may provide physical insight into understanding the role of nonlinear phenomena for the generation of various types of DA breathers in experiments and different regions of space (e.g., the planetary spoke and cometary tails).

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Section: Introductionmentioning

confidence: 84%

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Singh

Saini

2020

Front. Phys.

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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%

“…

A = A^{((), 0)} + ϵ A^{((), 1)} + ϵ^{2} A^{((), 2)} + \dots = A^{((), 0)} + {false\sum}_{n = 1}^{\infty} ϵ^{n} A^{((), n)},

where ϵ ≪ 1 is a smallness parameter. In the standard multiple scale (reductive perturbation) technique, the stretched (slow) space and time variables are commonly used by many authors as follows:

ξ = ϵ (x - v_{g} t), τ = ϵ^{2} t,

where v g is the group velocity in the x direction. We assume that all perturbed states depend on the fast scales via the phase θ 1 = kx − ωt only, while the slow scales enter the argument of the l th harmonic amplitude

A_{l}^{((), n)}

, which is allowed to vary along x ,

A^{((), n)} = {false\sum}_{l = - \infty}^{\infty} A_{l}^{((), n)} (ξ, τ) e^{il (kx - ω italict)} .

…”

Section: Derivation Of Nlsementioning

confidence: 99%

“…We have depicted bright envelope solitons in Figures 5 and 6 by numerically analysing Equation (29). We have also numerically analysed (30) in Figures 7 and 8. Figure 5 indicates that (a) the MI of the DAWs associated with unstable domain (i.e., P/Q > 0) leads to generate a bare pulse with fast oscillations inside the packet; (b) initially, the height of the bare pulse is maximum at = 0 but decreases with the increase in the value of positive and negative , and still tends to zero for large value of (i.e., ≥ ± 10).…”

Section: Envelope Solitonsmentioning

confidence: 99%

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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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“…Rogue wave is a complex, rare, short‐lived, and high energetic pulse, which is an interesting research topic for the plasma physicists. Therefore, researchers have theoretically investigated the properties of rogue waves in many plasma systems [6,10,39–43] . Sabry et al [42] have reported the propagation properties of IARWs in an unmagnetized plasma medium with warm ions, electrons, and positrons and analysed that the IARWs become suddenly high energetic pulse around the critical wave number ( k c ) and later decrease with increasing the k c .…”

Section: Introductionmentioning

confidence: 99%

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

Haque

Mannan

2020

Contributions to Plasma Physics

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A more general and realistic four-component magnetized plasma medium consisting of opposite polarity ions and nonthermal distributed positrons and electrons is considered to investigate the stable/unstable frequency regimes of modulated ion-acoustic waves (IAWs) in the D-F regions of Earth's ionosphere. A (3 + 1)-dimensional nonlinear Schrödinger equation, which leads to the modulation instability (MI) of IAWs, is derived. The parametric regimes for the existence of the MI, first-and second-order rogue waves, and also their basic features (viz., amplitude, width, and speed) are found to be significantly modified by the effect of physical plasma parameters and external magnetic field. It is found that the nonlinearity of the different types of electronegative plasma system depends on the positive to negative ion mass ratio. It is also shown that the presence of nonthermal distributed electrons and positrons modifies the nature of the MI of the modulated IAWs. The implication of our results for the laboratory plasma [e.g., (Ar + , F −) electronegative plasma] and space plasma [e.g., (H + , H −), (H + , O − 2) electronegative plasma in D-F regions of Earth's ionosphere] are briefly discussed.

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Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma

Cited by 33 publications

References 34 publications

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Breather Structures and Peregrine Solitons in a Polarized Space Dusty Plasma

Dust‐acoustic envelope solitons in super‐thermal plasmas

Dynamics of ion‐acoustic rogue waves in electron‐positron‐ion magneto‐plasmas

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