Obliquely propagating nonlinear ion-acoustic solitary and cnoidal waves in nonrelativistic magnetized pair-ion plasma with superthermal electrons

El-Monier, S. Y.; Atteya, A.

doi:10.1063/1.5093016

Cited by 12 publications

(7 citation statements)

References 39 publications

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“…We use the variable χ = η − UT, to determine the solution to KdVB equation (11), where χ is the transformed coordinate relative to a reference frame moving at the shock speed U. Equation (11) with respect to χ is integrated to produce…”

Section: Solution Of Kdv Burgers Equationmentioning

confidence: 99%

Dust ion acoustic shock and solitary waves in a magnetized multi-component plasma with superthermal electrons

El-Monier¹,

El-Helbawy²,

Elsayed³

et al. 2023

Phys. Scr.

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The nonlinear wave propagation in dusty plasmas has received great interest in recent decades due to its significance in interpreting some astrophysical phenomenon. Wave propagation in dust-particle plasmas is likely to differ significantly from that in normal plasmas. Depending on their time scales, several types of acoustic waves propagate in dusty plasmas. The propagation of DIA waves was investigated through a system of multi-component dusty plasma. The study shows the effect of the magnetic field and superthermal parameters on the Sagdeev potential. The Sagdeev potential falls with decreasing ω ci values and rising superthermal parameter k values. Bifurcation analysis is taken into our consideration and shown graphically under the two conditions (A > 0 ) and (A < 0). The presented theoretical work is useful in fully understanding disturbances of the electrostatic in space dusty plasmas.

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Section: Solution Of Kdv Burgers Equationmentioning

confidence: 99%

Dust ion acoustic shock and solitary waves in a magnetized multi-component plasma with superthermal electrons

El-Monier¹,

El-Helbawy²,

Elsayed³

et al. 2023

Phys. Scr.

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“…We follow the same procedure in Refs. [50,53] and [54] to find the cnoidal wave solution of the obtained KdV Eq. ( 14) for DA waves.…”

Section: Nonlinear Periodic Wave Solutionsmentioning

confidence: 99%

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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“…[ 3 ] Experimental studies of ion‐acoustic waves (IAWs) in negative‐ion plasmas were reported by Song et al [ 4 ] and Wong et al [ 5 ] Linear and nonlinear properties of IAWs have been widely investigated theoretically by authors. [ 6–13 ] In the presence of dust impurities in the ordinary plasma, IAWs lead to the so‐called dust‐ion acoustic waves (DIAWs). [ 14 ] The propagation of DIAWs in an inhomogeneous dusty plasma was shown.…”

Section: Introductionmentioning

confidence: 99%

Multi‐dimensional instability of electrostatic solitary waves in a warm multi‐ion dust plasma

Gao

Wu²,

Duan

2021

Contributions to Plasma Physics

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Study of dust ion acoustic waves in a magnetized dusty plasmas composed of negatively or positively charged static dust, positive and negative ions, as well as kappa distribution electrons is presented. The Zakharov–Kuznetsov (ZK) equation is derived via reductive perturbation technique. The solitary wave solution of ZK equation is given and the multi‐dimensional instability of these solitary waves is investigated via small k perturbation method. The instability criterion and growth rate relying on obliqueness, superthermality, positive ion thermal pressure, relative ion number density, magnetic field strength, and direction cosines are discussed for five cases. The results are beneficial to understand different nonlinear characteristics of unstable electrostatic disturbances in laboratory and space plasmas.

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Obliquely propagating nonlinear ion-acoustic solitary and cnoidal waves in nonrelativistic magnetized pair-ion plasma with superthermal electrons

Cited by 12 publications

References 39 publications

Dust ion acoustic shock and solitary waves in a magnetized multi-component plasma with superthermal electrons

Dust ion acoustic shock and solitary waves in a magnetized multi-component plasma with superthermal electrons

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

Multi‐dimensional instability of electrostatic solitary waves in a warm multi‐ion dust plasma

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