To the question of large-amplitude electron oscillations in a plasma slab
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 456-469

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A new approach is proposed for constructing and analyzing piecewise smooth exact solutions of the system of quasilinear hyperbolic equations that models the simplest electron oscillations in a plasma slab. A necessary and sufficient condition for their existence and uniqueness is established. An approximate numerical–analytical solution method is constructed for smooth initial data.
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     author = {E. V. Chizhonkov},
     title = {To the question of large-amplitude electron oscillations in a~plasma slab},
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E. V. Chizhonkov. To the question of large-amplitude electron oscillations in a plasma slab. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 456-469. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a4/