Stability of discrete solitons in nonlinear Schrödinger lattices

2005 ◽  
Vol 212 (1-2) ◽  
pp. 1-19 ◽  
Author(s):  
D.E. Pelinovsky ◽  
P.G. Kevrekidis ◽  
D.J. Frantzeskakis
Keyword(s):  
Nonlinear Schrödinger ◽  
Discrete Solitons

BRIGHT SOLITONS IN A PARAMETRICALLY DRIVEN DISCRETE NONLINEAR SCHRODINGER EQUATION

2013 ◽  
Vol 22 ◽  
pp. 570-575 ◽  
Author(s):  
O. P. SWAMI ◽  
V. KUMAR ◽  
A. K. NAGAR
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Nonlinear Schrödinger ◽  
Bright Solitons ◽  
Existence And Stability ◽  
Parametric Driving ◽  
Discrete Solitons

In this paper, we consider a parametrically driven discrete nonlinear Schrödinger equation. Analytical and numerical calculations are performed to determine the existence and stability of fundamental bright discrete solitons admitted by discrete nonlinear Schrödinger equation. We show that a parametric driving can destabilizes onsite bright solitons and stabilizes intersite bright discrete solitons. Stability windows of all the fundamental solitons are presented and approximations to the onset of instability are derived using perturbation theory, with accompanying numerical results.

scholarly journals Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity

2009 ◽  
Vol 238 (1) ◽  
pp. 67-76 ◽  
Author(s):  
J. Cuevas ◽  
P.G. Kevrekidis ◽  
D.J. Frantzeskakis ◽  
B.A. Malomed
Keyword(s):  
Power Law ◽  
Nonlinear Schrödinger ◽  
Discrete Solitons
Sign in / Sign up

Export Citation Format

Share Document