Geodesic
On breaking of a slow extraordinary wave in a cold magnetoactive plasma
Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 3-16

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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, slow extraordinary wave, breaking effect.
Mots-clés : plasma oscillations 
@article{MM_2021_33_6_a0,
     author = {A. A. Frolov and E. V. Chizhonkov},
     title = {On breaking of a slow extraordinary wave in a cold magnetoactive plasma},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {33},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_6_a0/}
}
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A. A. Frolov; E. V. Chizhonkov. On breaking of a slow extraordinary wave in a cold magnetoactive plasma. Matematičeskoe modelirovanie, Tome 33 (2021) no. 6, pp. 3-16. http://geodesic.mathdoc.fr/item/MM_2021_33_6_a0/