Bifurcations of nonlinear ion-acoustic travelling waves in a multicomponent magnetoplasma with superthermal electrons

Selim, M. M.; El-Depsy, A.; El-Shamy, E. F.

doi:10.1007/s10509-015-2574-2

Cited by 65 publications

(17 citation statements)

References 19 publications

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“…The potential function W ( ) has two points of extreme for , which are defined at ∂ W/∂ = 0; these are 1,2 and can be given as direction perpendicular to the magnetic field, the nonlinear periodic traveling wave disappears where the increase in θ causes the increase in the dispersion term coefficient in the nonlinear KdV equation and the periodic traveling wave becomes fatter. Also, the obtained periodic waves are affected by the obliqueness and species densities similarly as presented by Selim et al [56]. It is noticed that the used plasma system is entirely contained by the magnetic force, an arrangement referred to as magnetic confinement (i.e., the magnetic field makes the nonlinear periodic traveling wave structures in the field direction spikier as demonstrated in Ref.…”

Section: (A) (B)supporting

confidence: 62%

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

et al. 2022

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Dust-acoustic (DA) solitary and periodic waves investigations were performed in a magnetized self-gravitating dusty plasma consisting of negatively and positively charged dust grains in the presence of inertialess ions and electrons. The Korteweg–de Vries–Burger (KdVB) equation has been derived. The numerical investigations revealed the compressive or rarefactive DA solitons depending on the plasma parameters. The nonlinear homoclinic and periodic trajectories from the KdVB equation were obtained for the phase portrait profiles when employing the phase plane theory of dynamical systems. The periodic wave solution depends also on the system parameters. The present results are considered to be beneficial in understanding the nonlinear structures in experimental devices and different astrophysical environments such as the Earth’s mesosphere, cometary tails, and Jupiter’s magnetosphere.

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Section: (A) (B)supporting

confidence: 62%

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

et al. 2022

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“…Therefore, due to its important applications in various plasma environments, bifurcation theory has been extensively applied to examine the physical features of non‐linear waves in different plasma models. [ 37,42,51 ] As mentioned in the last part, we introduced the transformation,

χ = ζ - λ τ

to obtain Equation (14). After integration and simplifying Equation (14), assuming

ϕ^{(1)} false(ζ, τ false) = ϕ false(χ false)

, we obtain the following equation:

\frac{d^{2} ϕ^{(1)}}{d χ^{2}} = \frac{λ}{B} ϕ + \frac{2 A}{3 B} {(goodbreak- ϕ)}^{3 / 2} .

…”

Section: Bifurcation Analysismentioning

confidence: 99%

“…In addition, many investigators have applied bifurcation analysis [ 35 ] extensively to examine non‐linear waves' physical behaviour in different plasma models due to its significant applications in various plasma cases. [ 36–45 ] In particular, they discussed the probability of the existence and characteristics of periodic travelling waves. For instance, by applying the bifurcation theory, Abdelwahed et al [ 38 ] discussed the non‐linear propagation of dust‐ion acoustic periodic travelling waves in a dusty plasma consisting of cold ions, stationary charged dust grains, and two temperature superthermal electrons.…”

Section: Introductionmentioning

confidence: 99%

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Selim

Abdelaleem

El-Bedwehy

et al. 2021

Contributions to Plasma Physics

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This study is essentially an attempt to investigate the effects of trapped ions concentration on the dynamics of dust‐acoustic (DA) periodic travelling waves in dusty plasmas, which consist of dust fluid, trapped ions, and Maxwellian electrons. The physical nature of DA solitary and periodic travelling waves in the plasma model at hand is governed by a Korteweg‐de Vries (KdV) type equation. Bifurcation analysis of the Hamiltonian system is applied to demonstrate the probability of the presence of DA solitary and periodic travelling waves for the KdV type equation. A careful discussion illustrates that non‐linear phenomena of DA solitary and periodic travelling waves are modified due to the presence of the trapped ions concentration. It is found numerically that the negative amplitude of DA periodic travelling waves is amplified, as the trapping parameter that determines the number of the trapped ions is increased. The numerical simulation gives rise to significant highlights on the dynamics of solitary and periodic travelling waves in astrophysical environments such as Saturn's moon Enceladus.

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“…A lunar orbiter SELENE revealed the existence of electrostatic waves which are generated due to the electrostatic instability driven by energetic solar wind particles in the lunar wake [5]. e particles of astrophysical plasmas such as solar wind plasma were generally found to follow non-Maxwellian distribution containing suprathermal particles with highenergy tails [6]. e kappa distribution appropriately defines the influence of suprathermal particles [7].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Complexity and Multistability in a Novel Lunar Wake Plasma System

Prasad

Mukherjee²,

Saha

et al. 2020

Complexity

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Dynamical complexity and multistability of electrostatic waves are investigated in a four-component homogeneous and magnetized lunar wake plasma constituting of beam electrons, heavier ions (alpha particles, He ++ ), protons, and suprathermal electrons. e unperturbed dynamical system of the considered lunar wake plasma supports nonlinear and supernonlinear trajectories which correspond to nonlinear and supernonlinear electrostatic waves. On the contrary, the perturbed dynamical system of lunar wake plasma shows different types of coexisting attractors including periodic, quasiperiodic, and chaotic, investigated by phase plots and Lyapunov exponents. To confirm chaotic and nonchaotic dynamics in the perturbed lunar wake plasma, 0 − 1 chaos test is performed. Furthermore, a weighted recurrence-based entropy is implemented to investigate the dynamical complexity of the system. Numerical results show existence of chaos with variation of complexity in the perturbed dynamics.

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Bifurcations of nonlinear ion-acoustic travelling waves in a multicomponent magnetoplasma with superthermal electrons

Cited by 65 publications

References 19 publications

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

Dust-acoustic solitary and periodic waves in magnetized self-gravito-electrostatic opposite polarity dusty plasmas

Effects of trapped ions concentration on the dynamics of dust‐acoustic periodic travelling waves in dusty plasmas

Dynamical Complexity and Multistability in a Novel Lunar Wake Plasma System

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