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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1995, Volume 2, Number 3, Pages 296–305 (Mi jmag632)  
The multistability in the stationary scattering problem for a nonlinear mean-field model

A. Boutet de Monvela, A. V. Marchenkob, L. Pasturc

a Université Paris 7, Mathématiques, case 7012, 2, Place Jussieu, F-75251, Paris Cedex 05, France
b Moscow State University of Communications, 15 Obraztsova str., 103055, Moscow, Russia
c B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
Full-text PDF (1530 kB)
Abstract: 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.
Received: 15.11.1994
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: English
Citation: A. Boutet de Monvel, A. V. Marchenko, L. Pastur, “The multistability in the stationary scattering problem for a nonlinear mean-field model”, Mat. Fiz. Anal. Geom., 2:3 (1995), 296–305
Citation in format AMSBIB
\Bibitem{De MarPas95}
\by A.~Boutet~de Monvel, A.~V.~Marchenko, L.~Pastur
\paper The multistability in the stationary scattering problem for a nonlinear mean-field model
\jour Mat. Fiz. Anal. Geom.
\yr 1995
\vol 2
\issue 3
\pages 296--305
\mathnet{http://mi.mathnet.ru/jmag632}
\zmath{https://zbmath.org/?q=an:0853.35099}
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