Existence and Nonexistence Results for a Schrödinger Equation with Saturable Nonlinearity

2014 ◽  
pp. 309-321
Author(s):  
Raquel Lehrer ◽  
Liliane A. Maia
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Saturable Nonlinearity ◽  
Existence And Nonexistence

QUASIPERIODIC ROUTE TO SPATIOTEMPORAL CHAOS IN A NONLINEAR SCHRÖDINGER EQUATION WITH THE SATURABLE NONLINEARITY

1994 ◽  
Vol 08 (24) ◽  
pp. 1511-1516
Author(s):  
CANGTAO ZHOU
Keyword(s):  
Hamiltonian System ◽  
Schrödinger Equation ◽  
Coherent Structures ◽  
Schrodinger Equation ◽  
Spatiotemporal Chaos ◽  
Nonlinear Schrodinger Equation ◽  
The Self ◽  
Saturable Nonlinearity ◽  
Self Focusing ◽  
Non Linear

The route from the coherent structures to the spatiotemporal complicated patterns is numerically investigated in terms of a continuum Hamiltonian system, that is, the non-linear Schrödinger equation with the self-focusing nonlinearity, where the quasiperiodic route is first observed.

scholarly journals Statistical mechanics of a discrete Schrödinger equation with saturable nonlinearity

2013 ◽  
Vol 87 (4) ◽  
Author(s):  
Mogens R. Samuelsen ◽  
Avinash Khare ◽  
Avadh Saxena ◽  
Kim Ø. Rasmussen
Keyword(s):  
Schrödinger Equation ◽  
Statistical Mechanics ◽  
Schrodinger Equation ◽  
Saturable Nonlinearity ◽  
Discrete Schrödinger Equation
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