Abstract
We study the effects of mixed couplings for nonlinear Schrodinger systems. We show due to the mixed couplings there exist multiple vector positive solutions which exhibit interesting new patterns of co-existence of synchronization and segregation. For a 3-system we show the existence of multiple positive vector solutions with the first two components being synchronized and segregated from the third component. We investigate the asymptotic of these solutions with a large attractive coupling constant.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Calculus of Variations and Partial Differential Equations
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.