Lower and upper estimates on the excitation threshold for breathers in discrete nonlinear Schroedinger lattices

Journal Article · Sun Nov 15 04:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3263142· OSTI ID:21294450

Cuevas, J ^[1]; Karachalios, N I ^[2]; Palmero, F ^[3]

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1. Departamento de Fisica Aplicada I, University of Sevilla, Escuela Universitaria Politenica, C/Virgen de Africa, 7, 41011 Sevilla (Spain)
2. Department of Mathematics, University of the Aegean, Karlovassi, 83200 Samos (Greece)
3. Departamento de Fisica Aplicada I, University of Sevilla, ETSI Informatica, Avd. Reina Mercedes s/n, 41012 Sevilla (Spain)

We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in discrete nonlinear Schroedinger (DNLS) lattices with power nonlinearity. The estimation, depending explicitly on the lattice parameters, is derived by a combination of a comparison argument on appropriate lower bounds depending on the frequency of each solution with a simple and justified heuristic argument. The numerical studies verify that the analytical estimates can be of particular usefulness, as a simple analytical detection of the activation energy for breathers in DNLS lattices.

• OSTI ID: 21294450
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ACTIVATION ENERGY
BOUND STATE
COMPARATIVE EVALUATIONS
EXCITATION
LATTICE FIELD THEORY
LATTICE PARAMETERS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PERIODICITY
SCHROEDINGER EQUATION