Plasma Ion Velocity Distribution Function Perturbed by Ion-Acoustic Solitons: Analytical Calculations Based on KDV Equation

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Abstract

Using the Korteweg–De Vries equation, for background plasma, the distribution functions perturbed by ion-acoustic solitons are calculated. For describing the perturbed distribution functions, the explicit formula is obtained, which is suitable for practical applications. The results are compared with the analytical calculations and simulation results obtained previously.

About the authors

F. M. Trukhachev

Joint Institute for High Temperatures, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University); Belarusian–Russian University

Email: ftru@mail.ru
127412, Moscow, Russia; 141701, Dolgoprudny, Russia; 212000, Mogilev, Belarus

N. V. Gerasimenko

Belarusian–Russian University

Email: ftru@mail.ru
212000, Mogilev, Belarus

M. M. Vasiliev

Joint Institute for High Temperatures, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)

Email: ftru@mail.ru
127412, Moscow, Russia; 141701, Dolgoprudny, Russia

O. F. Petrov

Joint Institute for High Temperatures, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)

Author for correspondence.
Email: ftru@mail.ru
127412, Moscow, Russia; 141701, Dolgoprudny, Russia

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