scholarly journals Scalar and vector supermode solitons owing to competing nonlocal nonlinearities

2021 ◽  
Vol 29 (6) ◽  
pp. 8015
Author(s):  
Aleksandr Ramaniuk ◽  
Marek Trippenbach ◽  
Pawel S. Jung ◽  
Demetrios N. Christodoulides ◽  
Wieslaw Krolikowski ◽  
...  
Keyword(s):  
Nonlocal Nonlinearities

On the Well-Posedness of a Class of Vector Schrödinger Equations

2011 ◽  
Vol 11 (3) ◽  
Author(s):  
Sara Barile ◽  
Marco Squassina
Keyword(s):  
Electromagnetic Field ◽  
Schrodinger Equations ◽  
Nonlocal Term ◽  
Well Posedness ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger Systems ◽  
Schrödinger Systems ◽  
Nonlocal Nonlinearities ◽  
External Time

AbstractWe investigate the local and global well-posedness for a class of nonlinear Schrödinger systems with an external time independent electromagnetic field and nonlocal nonlinearities. New conditions related to the growth of the nonlocal term are detected which allow the solvability of the problem.

Null controllability for a parabolic equation with nonlocal nonlinearities

2012 ◽  
Vol 61 (1) ◽  
pp. 107-111 ◽  
Author(s):  
Enrique Fernández-Cara ◽  
Juan Limaco ◽  
Silvano B. de Menezes
Keyword(s):  
Parabolic Equation ◽  
Null Controllability ◽  
Nonlocal Nonlinearities

scholarly journals Gap solitons under competing local and nonlocal nonlinearities

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
Kuan-Hsien Kuo ◽  
YuanYao Lin ◽  
Ray-Kuang Lee ◽  
Boris A. Malomed
Keyword(s):  
Gap Solitons ◽  
Nonlocal Nonlinearities

Forced liénard equations with nonlocal nonlinearities

1986 ◽  
Vol 21 (4) ◽  
pp. 339-346 ◽  
Author(s):  
Norman. Bazley ◽  
Peter Miletta
Keyword(s):  
Liénard Equations ◽  
Nonlocal Nonlinearities
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