Electrostatic envelope excitations under transverse perturbations in a plasma with nonextensive hot electrons

Saini, N. S.; Kohli, Ripin

doi:10.1007/s10509-013-1649-1

Cited by 7 publications

(5 citation statements)

References 51 publications

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“…Saini & Shalini (2013) addressed the problem of IASW in a plasma with two temperature electrons that obey -non-extensive distribution. The modulation properties and stability regions of electron acoustic wave (EAW) are studied in two-dimensional plasma (Saini & Kholi 2014). Nsengiyumva et al.…”

Section: Introductionmentioning

confidence: 99%

“…Saini & Shalini (2013) addressed the problem of IASW in a plasma with two temperature electrons that obey q-non-extensive distribution. The modulation properties and stability regions of electron acoustic wave (EAW) are studied in two-dimensional plasma (Saini & Kholi 2014). Nsengiyumva et al (2014) have studied the existence domains of arbitrary amplitude fast mode IA solitons in a plasma composed of warm adiabatic and cold positive ion species in the presence of Boltzmann electrons.…”

Section: Introductionmentioning

confidence: 99%

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Transverse instability of ion acoustic solitons in a magnetized plasma including -nonextensive electrons and positrons

et al. 2015

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A nonlinear Zakharov–Kuznetsov (ZK) equation for ion acoustic solitary waves (IASWs) is derived using the reductive perturbation method (RPM) for magnetized plasmas in which the inertialess electrons and positrons are nonextensively $q$-distributed while ions are assumed to be warm and inertial. It is found that both compressive as well as rarefactive solitons coexist in the present model for different regions of non-extensive electron and positron parameters, $q_{e}$ and $q_{p}$. The magnetic field has no effect on the amplitude of the IASW, whereas the obliqueness angle of the wave propagation, the ion-to-electron temperature ratio ${\it\sigma}$ and positron-to-ion density concentration ratio $p$ affect both the amplitude and the width of the solitary wave structures. The transverse instability analysis illustrates that the one soliton solution has a constant growth rate, and it suffers from instability in the transverse direction. The relevance of the present study to astrophysical space plasmas is also discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transverse instability of ion acoustic solitons in a magnetized plasma including -nonextensive electrons and positrons

et al. 2015

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“…The applications of nonextensive plasmas are widely found in astrophysical and cosmological scenarios [32], and plasma dynamics [28,33], Hamiltonian systems [34] with long-range interaction, and nonlinear gravitational model [35]. The influences of nonextensive plasma particles on different traveling waves were reported on works [36][37][38][39][40][41]. Recently, works [42][43][44] studied shock and solitary EAWs using the nonextensive distribution in plasmas.…”

Section: Introductionmentioning

confidence: 99%

Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in magnetized plasmas

2020

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Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in a magnetized nonextensive electron-ion plasma is examined. These electron-acoustic waves (EAWs) are studied based on the Korteweg–de Vries (KdV) and modified Korteweg–de Vries (mKdV) equations. The dynamical systems for both the KdV and mKdV equations are formed using the propagating wave transfiguration. Phase plane analyses of EAWs corresponding to the KdV and mKdV equations are shown. Analytical solution corresponding to the electron-acoustic solitary wave for the KdV equation is derived. Analytical forms of kink, anti-kink and periodic wave solutions in ranges −1 < q < 0 and 0 < q < 1 are obtained for the mKdV equation. Superperiodic EAWs under the mKdV equation in the range q > 1 are shown numerically. Existence of small amplitude superperiodic EAWs under the mKdV equation is shown for the first time in a magnetized nonextensive electron-ion plasma using the concept of planar dynamical systems. Effects of system parameters on different traveling wave solutions of EAWs are displayed. Outcome of the study can be implemented to understand nonlinear and supernonlinear EAWs in space and atmosphere, such as, auroral zones and magnetosphere.

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“…Bedi and Gill [] reported the formation of EA dromions and studied their stability region in an unmagnetized plasma consisting of stationary ions, cold electrons, and superthermal hot electrons. Further, the stability region of EA envelope excitations in an unmagnetized plasma in presence of nonextensive hot electrons was studied by Saini and Kohli []. It was observed that nonextensivity of electrons has significantly modified the amplitude of EA dromions.…”

Section: Introductionmentioning

confidence: 99%

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

2016

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An investigation of dust acoustic (DA) dromions in a magnetized dusty plasma consisting of inertial dust fluid, kappa‐type distributed electrons, and ions is presented. Using reductive perturbation technique, we have derived coupled nonlinear evolution equations of (2 + 1) dimensions (called Davey‐Stewartson (DS‐I) equations). Hirota bilinear method has been employed to derive the analytical solution of DS‐I equations. The solutions of such equations are exponentially localized and are called dromions. The combined effects of various physical parameters such as superthermality of charged particles, strength of magnetic field, and dust concentration have been studied on the existence regions and propagation properties of DA dromions in context with observations of POLAR satellite in the presence of superthermal particles in polar cap boundary layer region of Earth's atmosphere.

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Electrostatic envelope excitations under transverse perturbations in a plasma with nonextensive hot electrons

Cited by 7 publications

References 51 publications

Transverse instability of ion acoustic solitons in a magnetized plasma including -nonextensive electrons and positrons

Transverse instability of ion acoustic solitons in a magnetized plasma including -nonextensive electrons and positrons

Phase plane analysis of small amplitude electron-acoustic supernonlinear and nonlinear waves in magnetized plasmas

Dust acoustic dromions in a magnetized dusty plasma with superthermal electrons and ions

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