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Your search keyword '"Palmero, F."' showing total 2 results
Start Over Author "Palmero, F." Database Academic Search Index Publisher american institute of physics
2 results on '"Palmero, F."'

1. Scattering of discrete solitons from an impurity in the saturable nonlinear Schrödinger equation.

Author

Tsoplefack, J., Palmero, F., Provata, A., Frantzeskakis, D. J., and Cuevas-Maraver, J.

Subjects
*SOLITONS, *NONLINEAR Schrodinger equation, *CUBIC equations, *SCHRODINGER equation
Abstract

We study the scattering of solitons from an impurity in the framework of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. We show that this model displays a complex scenario compared to the same equation with cubic nonlinearity. For instance, even considering a single value of the soliton speed and frequency, one can generally observe the existence of a reflected and a transmitted soliton after the interaction between the incoming soliton and the impurity, and that in the case of an attractive impurity, a trapped soliton can coexist with the reflected and transmitted ones. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Lower and upper estimates on the excitation threshold for breathers in discrete nonlinear Schrödinger lattices.

Author

Cuevas, J., Karachalios, N. I., and Palmero, F.

Subjects
*SCHRODINGER equation, *THRESHOLD logic, *EXCITATION (Physiology), *LATTICE theory, *NONLINEAR theories
Abstract

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 Schrödinger (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. [ABSTRACT FROM AUTHOR]

Published
2009
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