Back to Search
Start Over
Pattern formation via mixed attractive and repulsive interactions for nonlinear Schrödinger systems.
- Source :
-
Journal de Mathematiques Pures et Appliquees . Sep2016, Vol. 106 Issue 3, p477-511. 35p. - Publication Year :
- 2016
-
Abstract
- The paper is concerned with the asymptotic behavior of positive least energy vector solutions to nonlinear Schrödinger systems with mixed couplings which arise from models in Bose–Einstein condensates and nonlinear optics. We show that due to mixed attractive and repulsive interactions the least energy solutions exhibit new interesting component-wise pattern formations, including co-existence of partial synchronization and segregation. The novelty of our approach is the successful use of multiple scaling to carry out a refined asymptotic analysis of convergence to a multiply scaled limiting system. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00217824
- Volume :
- 106
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal de Mathematiques Pures et Appliquees
- Publication Type :
- Academic Journal
- Accession number :
- 116760383
- Full Text :
- https://doi.org/10.1016/j.matpur.2016.03.001