Abstract
This paper is concerned with the mathematical analysis of a masssubcritical nonlinear Schrödinger equation arising from fiber optic applications. We show the existence and symmetry of minimizers of the associated constrained variational problem. We also prove the orbital stability of such solutions referred to as standing waves and characterize the associated orbit. In the last section, we illustrate our results with few numerical simulations. © 2014 Springer Basel.
Original language | English (US) |
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Pages (from-to) | 273-295 |
Number of pages | 23 |
Journal | Milan Journal of Mathematics |
Volume | 82 |
Issue number | 2 |
DOIs | |
State | Published - Aug 26 2014 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01Acknowledgements: H. Hajaiej would like to thank NPST for its support through the research project number MA1716. The research of P. A. Markowich and S. Trabelsi reported in this publication was supported by the King Abdullah University of Science and Technology.
ASJC Scopus subject areas
- General Mathematics