Analytical solutions reveal how compressive and rarefactive solitons affect ion distribution functions in plasma, indicating new insights into plasma behavior.
A calculation is performed of ion-velocity and energy-distribution functions in plasma occupied by ion-acoustic compressive and rarefactive solitons. The pseudopotential method and ergodic hypothesis are used. A two-electron model of plasma with cold ions is considered. Formulas valid for arbitrary amplitude are obtained. It is shown that the perturbed distribution functions have a beamlike form. The results are compared with previously obtained analytical calculations and modeling results.
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Trukhachev et al. (2026) studied this question.
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