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Mostrando ítems 1-6 de 6
Artículo
Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
(2009)
We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the general form, |u|2σu|u|2σu. We systematically verify the conditions for the existence and stability of discrete solitons in the ...
Artículo
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity : Existence, stability and dynamics
(2008)
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in a Schrödinger lattice with saturable nonlinearity. After analysing the linear spectrum of the problem in the travelling ...
Artículo
Solitary waves in the Ablowitz--Ladik equation with power-law nonlinearity
(IOP Publishing, 2019)
We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schr¨odinger equation with the same type of the nonlinearity. The model opens a ...
Artículo
Unifying perspective: solitary traveling waves as discrete breathers in Hamiltonian lattices and energy criteria for their stability
(American Physical Society, 2017)
In this work, we provide two complementary perspectives for the (spectral) stability of solitary traveling waves in Hamiltonian nonlinear dynamical lattices, of which the Fermi-Pasta-Ulam and the Toda lattice are ...
Artículo
Vortex Pairs in the Discrete Nonlinear Schrödinger Equation
(IOP Publishing, 2020-03)
The aim of the present work is to examine the role of discreteness in the interaction of both co-winding and counter-winding vortices in the context of the nonlinear Schrodinger equation. Contrary to the well-known ...
Artículo
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
(Elsevier, 2024-07)
In the present work we explore the potential of models of the discrete nonlinear Schrödinger (DNLS) type to support spatially localized and temporally quasiperiodic solutions on top of a finite background. Such solutions ...