A~new-type of soliton behavior of the Davey--Stewartson equations in a~plasma system
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 487-498
Voir la notice de l'article provenant de la source Math-Net.Ru
The Davey–Stewartson equations are derived in a plasma system by the reductive perturbation method. Modulational instability of a plane wave is discussed including a finite ion temperature effect. Certain particular solutions of the equations are also obtained by means of a linearization technique. One of them shows “reconnection” of solitons. We show that this reconnectionsolution correspond to the resonant type of usual soliton solutions.
@article{TMF_1994_99_3_a17,
author = {K. Nishinari and K. Abe and J. Satsuma},
title = {A~new-type of soliton behavior of the {Davey--Stewartson} equations in a~plasma system},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {487--498},
publisher = {mathdoc},
volume = {99},
number = {3},
year = {1994},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a17/}
}
TY - JOUR AU - K. Nishinari AU - K. Abe AU - J. Satsuma TI - A~new-type of soliton behavior of the Davey--Stewartson equations in a~plasma system JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 487 EP - 498 VL - 99 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a17/ LA - ru ID - TMF_1994_99_3_a17 ER -
%0 Journal Article %A K. Nishinari %A K. Abe %A J. Satsuma %T A~new-type of soliton behavior of the Davey--Stewartson equations in a~plasma system %J Teoretičeskaâ i matematičeskaâ fizika %D 1994 %P 487-498 %V 99 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a17/ %G ru %F TMF_1994_99_3_a17
K. Nishinari; K. Abe; J. Satsuma. A~new-type of soliton behavior of the Davey--Stewartson equations in a~plasma system. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 487-498. http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a17/