Nonlinear coupling between Langmuir and dust-acoustic waves in dusty plasmas with dust charge perturbations

Guerra, Rui; Shukła, P. K.

doi:10.1088/0031-8949/1996/t63/049

Cited by 7 publications

(13 citation statements)

References 13 publications

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“…perturbations can lead to different chaotic motions, we want to conduct the spectral analysis on system (16), with the power spectra for Y 1 and Y 2 displayed in Figs. 9 and 10, respectively.…”

Section: Chaotic and Periodic Motions Of Eqs (2)mentioning

confidence: 99%

“…9. Power spectra of the solutions produced by system (16). Parameters are: r 1 ¼ 1, r 2 ¼ 1, k ¼ 0.2, l 1 ¼ 10, R 1 ðtÞ ¼ 20 sinðtÞ, a n d R 2 ðtÞ ¼ 22:5 cosðtÞ, (a) X 2 ¼ 1, (b) X 1 ¼ 1.…”

Section: Chaotic and Periodic Motions Of Eqs (2)mentioning

confidence: 99%

“…11 Traveling wave solutions and periodic blow-up wave solutions have been constructed. 12 Furthermore, considering the external perturbations which cannot be ignored in the plasmas, [13][14][15] we plan to study the perturbed Zakharov equations, given by, [16][17][18] …”

mentioning

confidence: 99%

“…Hereby, U denotes the slowly varying envelope of the perturbed Langmuir turbulence in the highly oscillatory electric field, V refers to the perturbed fluctuation of the ion density about its equilibrium value after people take the external perturbations into consideration, x and t also represent the normalized distance along the direction of the propagation and retarded time, respectively, k is proportional to the ion-acoustic speed, and R 1 (t) and R 2 (t) are the external perturbations. [16][17][18] Parametric coupling for Eqs. (2) between the large-amplitude Langmuir waves and background plasma slow motions which are affected by the external perturbations has been obtained.…”

mentioning

confidence: 99%

“…(2) between the large-amplitude Langmuir waves and background plasma slow motions which are affected by the external perturbations has been obtained. 16 Decay and modulational instabilities of the Langmuir turbulence have been given numerically. 17 When R 1 (t) and R 2 (t) are both the stochastic functions, the global random attractors of Eqs.…”

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confidence: 99%

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Soliton solutions and chaotic motions of the Zakharov equations for the Langmuir wave in the plasma

et al. 2015

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For the interaction between the high-frequency Langmuir waves and low-frequency ion-acoustic waves in the plasma, the Zakharov equations are studied in this paper. Via the Hirota method, we obtain the soliton solutions, based on which the soliton propagation is presented. It is found that with λ increasing, the amplitude of u decreases, whereas that of v remains unchanged, where λ is the ion-acoustic speed, u is the slowly-varying envelope of the Langmuir wave, and v is the fluctuation of the equilibrium ion density. Both the head-on and bound-state interactions between the two solitons are displayed. We observe that with λ decreasing, the interaction period of u decreases, while that of v keeps unchanged. It is found that the Zakharov equations cannot admit any chaotic motions. With the external perturbations taken into consideration, the perturbed Zakharov equations are studied for us to see the associated chaotic motions. Both the weak and developed chaotic motions are investigated, and the difference between them roots in the relative magnitude of the nonlinearities and perturbations. The chaotic motions are weakened with λ increasing, or else, strengthened. Periodic motion appears when the nonlinear terms and external perturbations are balanced. With such a balance kept, one period increases with λ increasing.

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Section: Chaotic and Periodic Motions Of Eqs (2)mentioning

confidence: 99%

Section: Chaotic and Periodic Motions Of Eqs (2)mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Soliton solutions and chaotic motions of the Zakharov equations for the Langmuir wave in the plasma

et al. 2015

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Solitary waves in self-gravitating dusty plasma

Burman

Chowdhury

2002

Chaos, Solitons & Fractals

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Stimulated Raman, Brillouin and dust–Brillouin scattering in dusty plasmas

Guerra

Mendonça²,

Shukła

1998

J. Plasma Phys.

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Stimulated scatterings of large-amplitude electromagnetic waves by Langmuir, dust–ion-acoustic and dust-acoustic waves in unmagnetized dusty plasmas are investigated by employing the standard methods of nonlinear three-wave interactions and by incorporating the effects of grain-charge fluctuations, collisions of electrons and ions with dust grains, the plasma drag on a dust grain (for the case of the dust-acoustic wave) and the dependence of the average dust charge on the dusty plasma parameters. Distinction is made between the charging collisions, when electrons and ions are accumulated onto the grain surface; and Coulomb collisions, when electrons and ions are simply deflected from the grain surface. We investigate the regimes for which Coulomb collisions can be treated under the small-angle-deflection approximation. If the intergrain average spacing is equal to or smaller than the Debye length, the collision frequencies of plasma species with dust grains can be much larger than any collision frequency of the plasma species amongst themselves. In the case of Brillouin stimulated scattering, other important contributions to damping come from Landau and dust-charge fluctuation damping. In the case of dust–Brillouin stimulated scattering, the most important contribution to damping comes from dust-charge fluctuation (if the intergrain average spacing is equal to or smaller than the Debye length) and plasma drag on the dust particles (if the intergrain average spacing is larger than the Debye length). We derive the instability thresholds as a function of the density of the dust grains. Because of the inclusion of the new effects, in both Raman and Brillouin scatterings it is found that the instability threshold powers are drastically increased relative to the dust-free case. In the case of dust–Brillouin scattering, a minimum for the threshold power is found in the transition region between ‘dusty’ and ‘dust-in’ plasma. Growth rates near thresholds are also discussed.

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Nonlinear coupling between Langmuir and dust-acoustic waves in dusty plasmas with dust charge perturbations

Cited by 7 publications

References 13 publications

Soliton solutions and chaotic motions of the Zakharov equations for the Langmuir wave in the plasma

Soliton solutions and chaotic motions of the Zakharov equations for the Langmuir wave in the plasma

Solitary waves in self-gravitating dusty plasma

Stimulated Raman, Brillouin and dust–Brillouin scattering in dusty plasmas

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