The multistability in the stationary scattering problem for a nonlinear mean-field model

A. Boutet de Monvel^a, A. V. Marchenko^b, L. Pastur<sup>c

a</sup> 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

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.

UDC: 517.958

Received: 15.11.1994

Language: English

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