Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrödinger system

2016 ◽  
Vol 57 (10) ◽  
pp. 101501 ◽  
Author(s):  
Chuangye Liu ◽  
Nghiem V. Nguyen ◽  
Zhi-Qiang Wang
Keyword(s):  
Solitary Waves ◽  
Orbital Stability ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
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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