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Face to face interaction of dust acoustic solitons with trapped ions

R. Jahangir, W. Masood and H. Rizvi

Chaos, Solitons & Fractals, 2023, vol. 174, issue C

Abstract: The face to face interaction of two dust acoustic solitons with adiabatically trapped ions and Maxwellian electrons is investigated in a dusty plasma. The extended Poincaré-Lighthill-Kuo (PLK) technique is used to derive a pair of trapped nonlinear partial differential equations with fractional nonlinearity. Interestingly, unlike the untrapped case, the interaction and the phase shifts of the dust acoustic solitons cannot be obtained analytically for the trapped case and, therefore, evaluated numerically. This leads to the important finding that the phase shift depends upon the velocities of both the solitons. Furthermore, the number density of electrons and the temperature of ions are found to affect the phase shift of the colliding solitons. The present investigation is carried out for the parameters pertaining to the Saturn’s magnetosphere, however, the results presented here are general and can be gainfully exploited to comprehend the interaction of solitons in space and laboratory applications of dusty plasmas.

Keywords: Dust acoustic solitons; Trapped ions; Saturn’s magnetosphere; PLK technique; Numerical analysis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923005957

DOI: 10.1016/j.chaos.2023.113694

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