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This article is cited in 1 scientific paper (total in 1 paper)
On breaking of a slow extraordinary wave in a cold magnetoactive plasma
A. A. Frolova, E. V. Chizhonkovb a Lebedev Physical Institute RAS
b Lomonosov Moscow State University
Abstract:
The influence of an external magnetic field on plane relativistic nonlinear oscillations
and waves is studied. To initialize a slow extraordinary wave in a magnetoactive plasma,
the algorithm of constructing the missing initial conditions based on the solution of a linear problem by the Fourier method is used. For the purpose of numerical simulation of a
nonlinear wave, a scheme of the second-order accuracy finite difference method of the
MacCormack type is constructed. It is shown that, when the external magnetic field is
taken into account, the Langmuir oscillations are transformed into a slow extraordinary
wave. In this case, the wave velocity increases with the growth of the external constant
field, which contributes to the removal of energy from the initial region of localization of
oscillations. For this reason, starting from a certain critical value of the external field, the
breaking effect ceases to be observed, that is, a time-global smooth solution is formed.
Keywords:
magnetoactive plasma, numerical simulation, Fourier method, finite difference method, plasma oscillations, slow extraordinary wave, breaking effect.
Received: 08.02.2021 Revised: 14.04.2021 Accepted: 19.04.2021
Citation:
A. A. Frolov, E. V. Chizhonkov, “On breaking of a slow extraordinary wave in a cold magnetoactive plasma”, Matem. Mod., 33:6 (2021), 3–16; Math. Models Comput. Simul., 14:1 (2022), 1–9
Linking options:
https://www.mathnet.ru/eng/mm4291 https://www.mathnet.ru/eng/mm/v33/i6/p3
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Abstract page: | 252 | Full-text PDF : | 58 | References: | 19 | First page: | 9 |
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