scholarly journals Nonlinear Schrodinger systems: continuous and discrete

Scholarpedia ◽  
2008 ◽  
Vol 3 (8) ◽  
pp. 5561 ◽  
Author(s):  
Mark Ablowitz ◽  
Barbara Prinari
Keyword(s):  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

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.

scholarly journals On Hartree–Fock Systems

VLSI Design ◽  
1999 ◽  
Vol 9 (4) ◽  
pp. 357-364
Author(s):  
I. Gasser
Keyword(s):  
Existence And Uniqueness ◽  
Semiclassical Limit ◽  
Uniqueness Result ◽  
Nonlinear Schrödinger ◽  
Hartree Fock ◽  
Self Consistent ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

We show an existence and uniqueness result for mildly nonlinear Schrödinger systems of (self-consistent) Hartree–Fock form. We also shortly resume the already existing results on the semiclassical limit and the asymptotic and dispersive behavior of such systems.

A Note on Nonlinear Schrödinger Systems: Existence of A-symmetric Solutions

2006 ◽  
Vol 6 (2) ◽  
Author(s):  
Antonio Ambrosetti
Keyword(s):  
Small Parameter ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems

AbstractThe paper contains some results concerning the existence of a-symmetric solutions to a class of autonomous nonlinear Schrödinger systems, coupled through a small parameter.

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