TY - JOUR
T1 - Variational Approach to the Orbital Stability of Standing Waves of the Gross-Pitaevskii Equation
AU - Hadj Selem, Fouad
AU - Hajaiej, Hichem
AU - Markowich, Peter A.
AU - Trabelsi, Saber
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.
PY - 2014/8/26
Y1 - 2014/8/26
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/563715
UR - http://link.springer.com/10.1007/s00032-014-0227-5
UR - http://www.scopus.com/inward/record.url?scp=85028114177&partnerID=8YFLogxK
U2 - 10.1007/s00032-014-0227-5
DO - 10.1007/s00032-014-0227-5
M3 - Article
VL - 82
SP - 273
EP - 295
JO - Milan Journal of Mathematics
JF - Milan Journal of Mathematics
SN - 1424-9286
IS - 2
ER -