Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 296-305
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A. Boutet de Monvel; A. V. Marchenko; L. Pastur. The multistability in the stationary scattering problem for a nonlinear mean-field model. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (1995) no. 3, pp. 296-305. http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a2/
@article{JMAG_1995_2_3_a2,
author = {A. Boutet de Monvel and A. V. Marchenko and L. Pastur},
title = {The multistability in the stationary scattering problem for a nonlinear mean-field model},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {296--305},
year = {1995},
volume = {2},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a2/}
}
TY - JOUR
AU - A. Boutet de Monvel
AU - A. V. Marchenko
AU - L. Pastur
TI - The multistability in the stationary scattering problem for a nonlinear mean-field model
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1995
SP - 296
EP - 305
VL - 2
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a2/
LA - en
ID - JMAG_1995_2_3_a2
ER -
%0 Journal Article
%A A. Boutet de Monvel
%A A. V. Marchenko
%A L. Pastur
%T The multistability in the stationary scattering problem for a nonlinear mean-field model
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1995
%P 296-305
%V 2
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1995_2_3_a2/
%G en
%F JMAG_1995_2_3_a2
We consider the stationary scattering problem for the nonlinear mean-field model of wave and particle propagation and the quasi-stationary solutions of the scattering problem for the wave equation with the same nonlinearity. The multistability phenomena are discovered and studied. For the quasi-stationary solutions the asymptotic decomposition is obtained.