scholarly journals Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement

2018 ◽  
Vol 59 (7) ◽  
pp. 071508 ◽  
Author(s):  
Tianxiang Gou
Keyword(s):  
Standing Waves ◽  
Orbital Stability ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Partial Confinement ◽  
Schrödinger System

Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions

2014 ◽  
Vol 14 (1) ◽  
Author(s):  
Norihisa Ikoma
Keyword(s):  
Nonlinear Optics ◽  
Orbital Stability ◽  
Minimizing Sequences ◽  
Minimizing Sequence ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems ◽  
Schrödinger System

AbstractIn this paper, the precompactness of minimizing sequences under multiconstraint conditions are discussed. This minimizing problem is related to a coupled nonlinear Schrödinger system which appears in the field of nonlinear optics. As a consequence of the compactness of each minimizing sequence, the orbital stability of the set of all minimizers is obtained.

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