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Artículo
Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice
(ScienceDirect, 2022-12)
We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency–momentum or ω − k representation, extending the theory on ...
Artículo
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping
(2013)
We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower ...
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 ...