Browsing by Author "Kevrekidis, P.G."
Now showing items 1-6 of 6
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Bright breathers in nonlinear left-handed metamaterial lattices
Koukouloyannis V.; Kevrekidis P.G.; Veldes G.P.; Frantzeskakis D.J.; Dimarzio D.; Lan X.; Radisic V.... more authors ... less authors ( Institute of Physics Publishing , 2018 , Article)In the present work, we examine a prototypical model for the formation of bright breathers in nonlinear left-handed metamaterial lattices. Utilizing the paradigm of nonlinear transmission lines, we build a relevant lattice ... -
Dark soliton scattering in symmetric and asymmetric double potential barriers
Tsitoura, F.; Anastassi, Z.A.; Marzuola, J.L.; Kevrekidis, P.G.; Frantzeskakis, D.J. ( Elsevier B.V. , 2017 , Article)Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical ... -
Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice
Frantzeskakis D.J.; Karachalios N.I.; Kevrekidis P.G.; Koukouloyannis V.; Vetas K. ( Academic Press Inc. , 2019 , Article)We consider the energy landscape of a dissipative Klein–Gordon lattice with a on-site potential. Our analysis is based on suitable energy arguments, combined with a discrete version of the Łojasiewicz inequality, in order ... -
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
Penati T.; Sansottera M.; Paleari S.; Koukouloyannis V.; Kevrekidis P.G. ( Elsevier B.V. , 2018 , Article)We consider a one-dimensional discrete nonlinear Schrdinger (dNLS) model featuring interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) of phase-shift discrete solitons, which correspond ... -
On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors
Penati T.; Koukouloyannis V.; Sansottera M.; Kevrekidis P.G.; Paleari S. ( Elsevier B.V. , 2019 , Article)In this work, we study the existence of, low amplitude, phase-shift multibreathers for small values of the linear coupling in Klein–Gordon chains with interactions beyond the classical nearest-neighbor (NN) ones. In the ... -
Spatiotemporal algebraically localized waveforms for a nonlinear Schrödinger model with gain and loss
Anastassi, Z.A.; Fotopoulos, G.; Frantzeskakis, D.J.; Horikis, T.P.; Karachalios, N.I.; Kevrekidis, P.G.; Stratis, I.G.; Vetas, K.... more authors ... less authors ( Elsevier B.V. , 2017 , Article)We consider the asymptotic behavior of the solutions of a nonlinear Schrödinger (NLS) model incorporating linear and nonlinear gain/loss. First, we describe analytically the dynamical regimes (depending on the gain/loss ...