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- W2843199050 abstract "In this paper, we have investigated the head-on collision of quantum ion acoustic solitons with relativistically degenerate electrons by deriving a set of Korteweg–de Vries equations. Using the refined Poincaré-Lighthill-Kuo method, we have derived the expressions for phase shifts of colliding solitons. It has been found that the system under consideration admits only compressive electrostatic solitary structures. The solitons have also been found to form only for the sub-acoustic velocities of the nonlinear structures. It has been observed that the soliton interaction happens over long spatial and temporal scales in the non-relativistic limit whereas the converse happens in the ultrarelativistic regime. It has been found that the phase shift of the solitons after interaction is more pronounced in the ultra-relativistic limit by comparison with its non-relativistic counterpart. It has also been found that the phase shift settles to a constant value in the nonrelativistic limit. Using the parameters that are customarily found in white dwarf stars, we have given an estimate of the spatial scales over which the nonlinear structures are expected to interact with each other both in the non-relativistic and in the ultra-relativistic regimes." @default.
- W2843199050 created "2018-07-19" @default.
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- W2843199050 date "2018-07-01" @default.
- W2843199050 modified "2023-10-16" @default.
- W2843199050 title "Investigation of colliding nonlinear structures in a relativistically degenerate plasma" @default.
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- W2843199050 doi "https://doi.org/10.1063/1.5031870" @default.
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