Modulational instability of dust acoustic solitons in multicomponent plasma with kappa-distributed electrons and ions

Gill, Tarsem Singh; Bains, A. S.; Bedi, Chanchal

doi:10.1063/1.3280287

Cited by 49 publications

(38 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is worth to note that some recent theoretical work focused on the effects of suprathermal particles on different types of linear and nonlinear collective processes in plasmas. [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] It has been shown that the experimental results, for electrostatic plane-wave propagation in a collisionless thermal plasma, point to a class of Tsallis velocity distribution described by a nonextensive q-parameter smaller than unity. 10 Analytic formulas both for undamped and Landau damped waves have been derived in the context of the nonextensive statistics of Tsallis.…”

Section: Introductionmentioning

confidence: 96%

Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution

2010

View full text Add to dashboard Cite

Arbitrary amplitude ion-acoustic solitary waves are addressed in a two-component plasma with a q-nonextensive electron velocity distribution. Our results show that in such a plasma solitary waves, the amplitude and nature of which depend sensitively on the q-nonextensive parameter can exist. Due to the electron nonextensivity, our plasma model can admit compressive as well as rarefactive ion-acoustic solitons. For q>1 (−1<q<1), the lower limit of the allowable Mach numbers is smaller (greater) than its Boltzmannian counterpart, allowing therefore the possibility of the existence of subsonic ion-acoustic solitons. As the nonextensive character of the plasma becomes important, the potential pulse amplitude increases while its width is narrowed. For −1<q<0, our plasma model can admit only rarefactive ion-acoustic solitary waves involving relatively high Mach numbers. Due to the flexibility provided by the nonextensive q-parameter, our results should help in providing a good fit between theoretical and experimental results.

show abstract

Section: Introductionmentioning

confidence: 96%

Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution

2010

View full text Add to dashboard Cite

show abstract

“…In the last few years, great attention has been paid to the study of the modulation instability (MI) of solitons in the context of the nonlinear Schr€ odinger equation (NLSE) [13][14][15] due to their relevance in wave propagation stability. In the NLSE, the nonlinearity is in balance with the group velocity dispersion, and the resulting stationary solutions have envelope structures.…”

mentioning

confidence: 99%

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

2015

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Abdelwahed et al [25] examined rogue waves characteristics are totally depended on the ionic density ratio, ionic mass ratio, and superthermal parameter in ion pair superthermal plasma. Gill et al [5] studied MI of dust acoustic solitons in multicomponent plasma with kappa distributed electron and ions, where they observed presence of positive dust component modify the domain of the MI and localized envelope excitations. The aim of the present paper is, by using reductive perturbation method a NLS equation is derived for nonlinear electrostatic DARWS in unmagnetized dusty plasmas in the presence of inertial opposite polarity (positively and massive negatively charged) dust, isothermal ions, and superthermally kappa distributed electrons.…”

Section: Introductionmentioning

confidence: 99%

“…soliton, shock, vortices, and rogue profile, etc.) that are observed in dusty plasma system [5,6]. DAWs which arises due to the inertia of the the dust mass and restoring force is provided by the thermal pressure of ions and electrons.…”

Section: Introductionmentioning

confidence: 99%

Rogue waves in space dusty plasmas

2017

View full text Add to dashboard Cite

The modulational instability of dust-acoustic (DA) waves (DAWs), and corresponding DA rogue waves (DARWs) in a realistic space dusty plasma system (containing inertial warm positively and negatively charged dust, isothermal ions, and nonthermal kappa distributed electrons) has been theoretically investigated. The nonlinear Schrödinger (NLS) equation is derived by using reductive perturbation method for this investigation. It is observed that the dusty plasma system under consideration supports two modes, namely fast and slow modes, and that both of these two modes can be stable or unstable depending the sign of ratio of the dispersive and nonlinear coefficients. The numerical analysis have shown that the basic features (viz. stability/instabilit, growth rate, amplitude, etc.) of the DAWs associated with the fast mode are significantly modified by superthermal parameter (κ) and other various plasma parameters. The results of our present investigation should be useful for understanding DARWs in space plasma systems, viz. mesosphere and ionospehre.

show abstract

Modulational instability of dust acoustic solitons in multicomponent plasma with kappa-distributed electrons and ions

Cited by 49 publications

References 54 publications

Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution

Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution

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

Rogue waves in space dusty plasmas

Contact Info

Product

Resources

About