Nonlinear compressional electromagnetic ion-cyclotron wavepackets in space plasmas

Kourakis, Ioannis; Shukła, P. K.

doi:10.5194/npg-12-441-2005

Cited by 12 publications

(9 citation statements)

References 49 publications

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“…This variable transformation, in the context of our multiple scale perturbation method, has been adopted (and its physical meaning has been discussed) in a number of monographs or articles in plasma dynamics -see e.g. Infeld & Rowlands (1990) or Kourakis & Shukla (2005) for a space modeling context -and also in nonlinear optics; see e.g. Newell & Moloney (1992).…”

Section: Perturbative Analysismentioning

confidence: 99%

“…is recovered which is known to depict harmonic modulation of wavepackets in the NLS model (Kourakis & Shukla 2005).…”

Section: Modulational Instabilitymentioning

confidence: 99%

“…Typical plasma parameters corresponding to planetary rings for dusty plasma are: 0 = (10 13 − 10 16 ) −3 , 0 = (10 13 − 10 16 ) −3 , = 10 3 , = 10 13 −3 , = 50 eV, = 0.05 eV (Goertz 1989). Modulated wavepackets are ubiquitous in space; however, the generalization of the standard theory for modulational processes (Kourakis & Shukla 2005) to higher dimensionality (Davey & Stewartson 1974;Nishinari et al 1993Nishinari et al , 1994Fokas & Santini 1989;Duan 2004Duan , 2003Sen et al 2004;Xue 2004;Saini et al 2016) is not entirely understood. The transverse perturbations are supported by higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

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On the stability of two-dimensional modulated electrostatic wavepackets in non-Maxwellian dusty plasma-application in Saturn's magnetosphere

Singh,

McKerr,

Kourakis

2023

Preprint

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Motivated by observations of localized electrostatic wavepackets by the Voyager 1 and 2 and Cassini missions in Saturn's magnetosphere, we have investigated the evolution of modulated electrostatic wavepackets in a dusty plasma environment. The well known dust-ion acoustic (DIA) mode was selected to explore the dynamics of multi-dimensional structures, by means of a Davey-Stewartson (DS) model, by taking into account the presence of a highly energetic (suprathermal, kappa-distributed) electron population in combination with heavy (immobile) dust in the background. The modulational (in)stability profile of DIA wavepackets for both negative as well as positive dust charge is investigated. A set of explicit criteria for modulational instability (MI) to occur is obtained. Wavepacket modulation properties in 3D dusty plasmas are shown to differ from e.g. Maxwellian plasmas in 1D. Stronger negative dust concentration results in a narrower instability window in the (perturbation wavenumber) domain and to a suppressed growth rate. In the opposite manner, the instability growth rate increases for higher positive dust concentration and the instability window gets larger. In a nutshell, negative dust seems to suppress instability while positive dust appears to favor the amplitude modulation instability mechanism. Finally, stronger deviation from the Maxwell-Boltzmann equilibrium, i.e. smaller values, lead(s) to stronger instability growth in a wider wavenumber window -hence suprathermal electrons favor MI regardless of the dust charge sign (i.e. for either positive or negative dust). The wavepacket modulation properties in 2D dusty plasmas thus differ from e.g. Maxwellian plasmas in 1D, both quantitatively and qualitatively, as indicated by a generalized dispersion relation explicitly derived in this paper (for the amplitude perturbation). Our results can be compared against existing experimental data in space, especially in Saturn's magnetosphere.

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Section: Perturbative Analysismentioning

confidence: 99%

“…is recovered which is known to depict harmonic modulation of wavepackets in the NLS model (Kourakis & Shukla 2005).…”

Section: Modulational Instabilitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the stability of two-dimensional modulated electrostatic wavepackets in non-Maxwellian dusty plasma-application in Saturn's magnetosphere

Singh,

McKerr,

Kourakis

2023

Preprint

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“…These are: bright envelope soliton which is modulationally unstable and dark envelope soliton which is always stable. For the two cases of envelope solitons, if , the width is proportional to and the soliton amplitude is inversely proportional to (Fedele & Schamel 2002; Fedele, Schamel & Shukla 2002; Kourakis & Shukla 2005). In our cases, the stability and instability regions are dependent on time because of the existence of the dissipative term.…”

Section: Modulational Instability Regionmentioning

confidence: 99%

Weakly dissipative dust-ion acoustic wave modulation

2016

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The modulational instability of dust-ion acoustic (DIA) waves in an unmagnetized dusty plasma is investigated in the presence of weak dissipations arising due to the low rates (compared to the ion oscillation frequency) of ionization recombination and ion loss. Based on the multiple space and time scales perturbation, a new modified nonlinear Schrödinger equation governing the evolution of modulated DIA waves is derived with a linear damping term. It is shown that the combined action of all dissipative mechanisms due to collisions between particles reveals the permitted maximum time for the occurrence of the modulational instability. The influence on the modulational instability regions of relevant physical parameters such as ion temperature, dust concentration, ionization, recombination and ion loss is numerically examined. It is also found that the recombination frequency controls the instability growth rate, whereas recombination and ion loss make the instability regions wider.

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“…-Exact solutions of the NLSE (6) can be presented (see for details, e.g., Refs. [17]). Assuming h = √ Ψ exp(iθ), where Ψ and θ are real functions, the bright envelope soliton solution of Eq.…”

mentioning

confidence: 99%

Rossby rogons in atmosphere and in the solar photosphere

Misra¹,

Shukła²

2012

EPL

Self Cite

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The generation of Rossby rogue waves (Rossby rogons), as well as the excitation of bright and dark Rossby envelpe solitons are demonstrated on the basis of the modulational instability (MI) of a coherent Rossby wave packet. The evolution of an amplitude modulated Rossby wave packet is governed by one-dimensional (1D) nonlinear Schrödinger equation (NLSE). The latter is used to study the amplitude modulation of Rossby wave packets for fluids in Earth's atmosphere and in the solar photosphere. It is found that an ampitude modulated Rossby wave packet becomes stable (unstable) against quasi-stationary, long wavelength (in comparision with the Rossby wave length) perturbations, when the carrier Rossby wave number satisfies k 2 < 1/2 or. It is also shown that a Rossby rogon or a bright Rossby envelope soliton may be excited in the shallow water approximation for the Rossby waves in solar photosphere. However, the excitation of small or large scale perturbations may be possible for magnetized plasmas in the ionosphereic E−layer.

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Nonlinear compressional electromagnetic ion-cyclotron wavepackets in space plasmas

Cited by 12 publications

References 49 publications

On the stability of two-dimensional modulated electrostatic wavepackets in non-Maxwellian dusty plasma-application in Saturn's magnetosphere

On the stability of two-dimensional modulated electrostatic wavepackets in non-Maxwellian dusty plasma-application in Saturn's magnetosphere

Weakly dissipative dust-ion acoustic wave modulation

Rossby rogons in atmosphere and in the solar photosphere

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