Face to face interaction of dust acoustic solitons with trapped ions

Jahangir, R.; Masood, W.; Rizvi, H.

doi:10.1016/j.chaos.2023.113694

Cited by 4 publications

(1 citation statement)

References 54 publications

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“…More recently, many works examined the existance of Ion Acoustic Solitons [26] and in two various temperature plasma [27]. Jahangir et al [28] explored the interaction between two acoustic solitons with adiabatically trapped ions and Maxwellian electrons in dusty plasma. Jiao et al [29] have analysed observations of phase transitions in 2D multistable mechanical metamaterials initiated by collisions of soliton-like pulses within the metamaterial.…”

Section: Introductionmentioning

confidence: 99%

Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

Braik,

Elmadani,

Idrissi

et al. 2024

New J. Phys.

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In this study, we propose an equivalent circuit of a metamaterial 1D waveguide. The latter is made of a diphasic medium to induce both non-linearity and dispersion. The balance between these two effects makes it possible to obtain soliton waves not studied in the fluid-fluid metamaterial so far. The purpose of the present paper is to confront the numerical Runge Kutta-based solution to the Transmission Line based circuits. The latter is compared to the numerical solution obtained by a FEM algorithm to validate the numerical solution. The obtained solution is proved to be in good agreement with FEM solution.

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Section: Introductionmentioning

confidence: 99%

Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

Braik,

Elmadani,

Idrissi

et al. 2024

New J. Phys.

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Head-on collision of ion-acoustic (modified) Korteweg–de Vries solitons in Saturn's magnetosphere plasmas with two temperature superthermal electrons

Hashmi,

Jahangir,

Masood

et al. 2023

Physics of Fluids

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In view of the recent observations by plasma science-spacecraft-voyager and Cassini plasma spectrometer of Saturn's magnetosphere, the interaction between two counter-propagating ion-acoustic (IA) solitons is studied in an unmagnetized plasma consisting of warm adiabatic ions in addition to hot and cold electrons following kappa distribution. The head-on collision of the IA solitons is investigated using the extended Poincare–Lighthill–Kuo technique. Since this model supports both compressive and rarefactive solitons, therefore, the soliton collisions for both Korteweg–de Vries (KdV) and the modified KdV (mKdV) equations are investigated. The corresponding phase shifts after the collision for both these equations are also derived and examined. Furthermore, the effects of different plasma parameters (corresponding to Saturn's magnetosphere), including superthermality, density, and temperature on the colliding soliton profiles and their phase shifts, are examined. It is concluded that the phase shift is smaller when both hot and cold electrons are Maxwellian by comparison with the superthermal case.

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Soliton interaction in a two-temperature electron plasma with trapping and superthermality effects

Malik,

Ali,

Jahangir

et al. 2024

Physics of Fluids

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Head-on collision of the two small-amplitude electron-acoustic (EA) solitons is studied in an unmagnetized collisionless plasma in the presence of superthermal (hot) trapped electrons. For this purpose, using a well-known extended Poincare–Lighthill–Kuo (PLK) method, a pair of the trapped Korteweg–de Vries (tKdV) equations is derived to investigate the soliton trajectories and phase shifts. The latter are found dependent on amplitudes of the interacting solitons, effectively altering with hot-electron superthermality and plasma parameters. Typical parameters for the electron diffusion region (EDR) and day-side auroral zone have been selected to examine the impact of hot-electron superthermality, trapping parameter, hot-to-cold electron number density ratio, and cold-to-hot electron temperature ratio on the profiles of potential excitations and phase shifts of interacting solitons. It is found that phase speed of the EA waves becomes altered by varying the κ–parameter, strongly modifying the nonlinearity and dispersive coefficients in a superthermal trapped plasma. However, particle trapping phenomenon does not affect the linear phase speed but introduces a fractional nonlinearity in the tKdV equations of two interacting solitons. The impact of the adiabatic and isothermal pressures is also highlighted to show new modifications in the propagation characteristics of two interacting solitons.

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Face to face interaction of dust acoustic solitons with trapped ions

Cited by 4 publications

References 54 publications

Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

Generation and propagation of acoustic solitons in a periodic waveguide of air-water metamaterials

Head-on collision of ion-acoustic (modified) Korteweg–de Vries solitons in Saturn's magnetosphere plasmas with two temperature superthermal electrons

Soliton interaction in a two-temperature electron plasma with trapping and superthermality effects

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