Abstract
Many physical systems can be described by eigenvalues of nonlinear equations and bifurcation problems with a linear part that is non-selfadjoint, e.g., due to the presence of loss and gain. The balance of these effects is reflected in an antilinear symmetry, e.g., the PT-symmetry. Under the symmetry we show that the nonlinear eigenvalues bifurcating from real linear eigenvalues remain real and the corresponding nonlinear eigenfunctions remain symmetric. The abstract result is applied in a number of physical models of Bose-Einstein condensation, nonlinear optics, and superconductivity, and numerical examples are presented.
Originalsprache | englisch |
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Aufsatznummer | 093502 |
Fachzeitschrift | Journal of Mathematical Physics |
Jahrgang | 57 |
Ausgabenummer | 9 |
DOIs | |
Publikationsstatus | Veröffentlicht - 1 Sept. 2016 |
Extern publiziert | Ja |
ASJC Scopus subject areas
- Statistische und nichtlineare Physik
- Mathematische Physik