Higher dimensional Gaussian-type solitons of nonlinear Schrödinger equation with cubic and power-law nonlinearities in PT-symmetric potentials.
PLoS One
; 9(12): e115935, 2014.
Article
em En
| MEDLINE
| ID: mdl-25542020
ABSTRACT
Two families of Gaussian-type soliton solutions of the (n+1)-dimensional Schrödinger equation with cubic and power-law nonlinearities in PT-symmetric potentials are analytically derived. As an example, we discuss some dynamical behaviors of two dimensional soliton solutions. Their phase switches, powers and transverse power-flow densities are discussed. Results imply that the powers flow and exchange from the gain toward the loss regions in the PT cell. Moreover, the linear stability analysis and the direct numerical simulation are carried out, which indicates that spatial Gaussian-type soliton solutions are stable below some thresholds for the imaginary part of PT-symmetric potentials in the defocusing cubic and focusing power-law nonlinear medium, while they are always unstable for all parameters in other media.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Distribuição Normal
/
Dinâmica não Linear
Idioma:
En
Revista:
PLoS One
Assunto da revista:
CIENCIA
/
MEDICINA
Ano de publicação:
2014
Tipo de documento:
Article