Geodesic
A 3-dimensional model of transient processes in plasma
Matematičeskoe modelirovanie, Tome 17 (2005) no. 5, pp. 41-51 
Yu. V. Zasorin; M. V. Pridushchenko. A 3-dimensional model of transient processes in plasma. Matematičeskoe modelirovanie, Tome 17 (2005) no. 5, pp. 41-51. http://geodesic.mathdoc.fr/item/MM_2005_17_5_a4/
@article{MM_2005_17_5_a4,
     author = {Yu. V. Zasorin and M. V. Pridushchenko},
     title = {A 3-dimensional model of transient processes in plasma},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {41--51},
     year = {2005},
     volume = {17},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2005_17_5_a4/}
}
TY  - JOUR
AU  - Yu. V. Zasorin
AU  - M. V. Pridushchenko
TI  - A 3-dimensional model of transient processes in plasma
JO  - Matematičeskoe modelirovanie
PY  - 2005
SP  - 41
EP  - 51
VL  - 17
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MM_2005_17_5_a4/
LA  - ru
ID  - MM_2005_17_5_a4
ER  - 
%0 Journal Article
%A Yu. V. Zasorin
%A M. V. Pridushchenko
%T A 3-dimensional model of transient processes in plasma
%J Matematičeskoe modelirovanie
%D 2005
%P 41-51
%V 17
%N 5
%U http://geodesic.mathdoc.fr/item/MM_2005_17_5_a4/
%G ru
%F MM_2005_17_5_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper we study the 3-dimensional linearized model of ionized processes in plasma, that are decribed by 4th-order nonstationary PDE (which is a 3-dimensional analogue of the Kadomtsev–Petviashvily's equation). For that equation the Cauchy fundamental solution and exact solution of Cauchy task are being built and their properties are being studied. Some physical effects are being stated, and, particularly, the wave focusing effect. The representation of solution in terms of superposition of contracting wave packets is also given.