Ion-acoustic compressive and rarefactive solitons in a warm multicomponent plasma with negative ions

Weak ion-acoustic solitary waves (IASWs) in an unmagnetized quantum plasmas having two-fluid ions and fluid electrons are considered. Using the one-dimensional quantum hydrodynamics model and then the reductive perturbation technique, a generalized form of nonlinear quantum Korteweg-de Vries (KdV) equation governing the dynamics of weak ion acoustic solitary waves is derived. The effects of ion population, warm ion temperature, quantum diffraction, and polarity of ions on the nonlinear properties of these IASWs are analyzed. It is found that our present plasma model may support compressive as well as rarefactive solitary structures. Furthermore, formation and characteristics properties of IA double layers in the present bi-ion plasma model are investigated. The results of this work should be useful and applicable in understanding the wide relevance of nonlinear features of localized electro-acoustic structures in laboratory and space plasma, such as in super-dense astrophysical objects [24] and in the Earth's magnetotail region (Parks [43]. The implications of our results in some space plasma situations are discussed.

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“…0 and r h ! 0, the present plasma model does not support slow IA modes, as already reported by Mishra and Chhabra [37].…”

Section: Soliton Solutionsupporting

confidence: 60%

Solitary and double-layer structures in quantum bi-ion plasma

Shahmansouri

Tribeche

2016

J Theor Appl Phys

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“…slow ion-acoustic solitons and fast ion-acoustic solitons. Earlier investigations [3,4] reported two cases in which the system does not support the slow ion-acoustic mode, viz. :…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…We assume that low frequency electrostatic waves propagate in the plasma. The nonlinear behaviour of the ion-acoustic waves may be described by the following set of normalized fluid equations [3,5]:…”

Section: Governing Equationsmentioning

confidence: 99%

“…As earlier mentioned, space plasmas are frequently of multicomponent type consisting of both positive as well as negative ions of different temperatures [3,5,31]. Two-ion species having different masses, concentrations, charge states, and temperatures [3,5,31] Recent observations of space and laboratory plasmas have shown that particle distributions play a crucial role in characterizing the physics of nonlinear waves. Both linear and nonlinear properties are influenced by the velocity distribution of the particle constituents of the plasma.…”

Section: Introductionmentioning

confidence: 99%

“…As an approximation, plasma can be treated collisionless in the upper part of the D-region of the Earth's ionosphere where collision frequency is expected to be small and can be neglected [30]. As earlier mentioned, space plasmas are frequently of multicomponent type consisting of both positive as well as negative ions of different temperatures [3,5,31]. Two-ion species having different masses, concentrations, charge states, and temperatures [3,5,31] Recent observations of space and laboratory plasmas have shown that particle distributions play a crucial role in characterizing the physics of nonlinear waves.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons

Gill

Bala

Kaur

2010

Zeitschrift Für Naturforschung A

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In the present investigation, we have studied ion-acoustic solitary waves in a plasma consisting of warm positive and negative ions and nonisothermal electron distribution. We have used reductive perturbation theory (RPT) and derived a dispersion relation which supports only two ion-acoustic modes, viz. slow and fast. The expression for phase velocities of these modes is observed to be a function of parameters like nonisothermality, charge and mass ratio, and relative temperature of ions. A modified Korteweg-de Vries (KdV) equation with a (1+1/2) nonlinearity, also known as Schamel-mKdV model, is derived. RPT is further extended to include the contribution of higher-order terms. The results of numerical computation for such contributions are shown in the form of graphs in different parameter regimes for both, slow and fast ion-acoustic solitary waves having several interesting features. For the departure from the isothermally distributed electrons, a generalized KdV equation is derived and solved. It is observed that both rarefactive and compressive solitons exist for the isothermal case. However, nonisothermality supports only the compressive type of solitons in the given parameter regime.

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Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

Abdikian

2018

Contributions to Plasma Physics

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The nonlinear dust-ion-acoustic (DIA) solitary structures have been studied in a dusty plasma, including the Cairns-Gurevich distribution for electrons, both negative and positive ions, and immobile opposite polarity dust grains. The external magnetic field directed along the z-axis is considered. By using the standard reductive perturbation technique and the hydrodynamics model for the ion fluid, the modified Zakharov-Kuznetsov equation was derived for small but finite amplitude waves and was provided the solitary wave solution for the parameters relevant. Using the appropriate independent variable, we could find the modified Korteweg-de Vries equation. By plotting some figures, we have discussed and emphasized how the different plasma values, such as the trapping parameter, the positive (or negative) dust number density, the non-thermal electron parameter, and the ion cyclotron frequency, can influence the solitary wave structures. In addition, using the bifurcation theory of planar dynamical systems, we have extracted the centre and saddle points and illustrated the phase portrait of such a system for some particular plasma parameters. Finally, we have graphically investigated the behaviour of the solitary energy wave by changing the plasma values as well as by calculating the instability criterion; we have also discussed the growth rate of the solitary waves. The results could be useful for studying the physical mechanism of nonlinear propagation of DIA solitary waves in laboratory and space plasmas where non-thermal electrons, pair-ions, and dust particles can exist. KEYWORDSdust-ion-acoustic solitary wave, the bifurcation theory, the Cairns-Gurevich distribution, the modified Zakharov-Kuznetsov equation, the reductive perturbation technique

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Ion-acoustic compressive and rarefactive solitons in a warm multicomponent plasma with negative ions

Cited by 42 publications

References 15 publications

Solitary and double-layer structures in quantum bi-ion plasma

Solitary and double-layer structures in quantum bi-ion plasma

Higher-Order Nonlinear Effects on Wave Structures in a Multispecies Plasma with Nonisothermal Electrons

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

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