Abstract
We develop a rapid method in order to find the contraction rates of the radially symmetric collapsing solutions of the nonlinear Schroedinger equation defined for space dimensions exceeding a threshold value. We explicitly determine the asymptotic behaviour of these latter solutions by solving the non stationary linear problem relative to the nonlinear Schroedinger equation. We show that the self-similar states associated with the collapsing solutions are characterized by a spatial extent which is bounded from the top by a cut-off radius.
Citation Formats
Berge, L, and Pesme, D.
Non self-similar collapses described by the non-linear Schroedinger equation; Collapses non auto-similaires decrits par l`equation de Schroedinger non lineaire.
France: N. p.,
1992.
Web.
Berge, L, & Pesme, D.
Non self-similar collapses described by the non-linear Schroedinger equation; Collapses non auto-similaires decrits par l`equation de Schroedinger non lineaire.
France.
Berge, L, and Pesme, D.
1992.
"Non self-similar collapses described by the non-linear Schroedinger equation; Collapses non auto-similaires decrits par l`equation de Schroedinger non lineaire."
France.
@misc{etde_10129589,
title = {Non self-similar collapses described by the non-linear Schroedinger equation; Collapses non auto-similaires decrits par l`equation de Schroedinger non lineaire}
author = {Berge, L, and Pesme, D}
abstractNote = {We develop a rapid method in order to find the contraction rates of the radially symmetric collapsing solutions of the nonlinear Schroedinger equation defined for space dimensions exceeding a threshold value. We explicitly determine the asymptotic behaviour of these latter solutions by solving the non stationary linear problem relative to the nonlinear Schroedinger equation. We show that the self-similar states associated with the collapsing solutions are characterized by a spatial extent which is bounded from the top by a cut-off radius.}
place = {France}
year = {1992}
month = {Dec}
}
title = {Non self-similar collapses described by the non-linear Schroedinger equation; Collapses non auto-similaires decrits par l`equation de Schroedinger non lineaire}
author = {Berge, L, and Pesme, D}
abstractNote = {We develop a rapid method in order to find the contraction rates of the radially symmetric collapsing solutions of the nonlinear Schroedinger equation defined for space dimensions exceeding a threshold value. We explicitly determine the asymptotic behaviour of these latter solutions by solving the non stationary linear problem relative to the nonlinear Schroedinger equation. We show that the self-similar states associated with the collapsing solutions are characterized by a spatial extent which is bounded from the top by a cut-off radius.}
place = {France}
year = {1992}
month = {Dec}
}