Asymmetric Wave Propagation Through Saturable Nonlinear Oligomers

Autor: Daniel Law, Jennie D'Ambroise, Panayotis G. Kevrekidis, Detlef Kip

Publikováno v: Photonics, Vol 1, Iss 4, Pp 390-403 (2014)

In the present paper we consider nonlinear dimers and trimers (more generally, oligomers) embedded within a linear Schrödinger lattice where the nonlinear sites are of saturable type. We examine the stationary states of such chains in the form of pl

Externí odkaz: https://doaj.org/article/ed08fa051b6e4ff1a1191c83a785eb1c

Existence, Stability and Dynamics of Nonlinear Modes in a 2D PartiallyPT Symmetric Potential

Autor: Jennie D’Ambroise, Panayotis G. Kevrekidis

Publikováno v: Applied Sciences, Vol 7, Iss 3, p 223 (2017)

It is known that multidimensional complex potentials obeying parity-time(PT)symmetry may possess all real spectra and continuous families of solitons. Recently, it was shown that for multi-dimensional systems, these features can persist when the pari

Externí odkaz: https://doaj.org/article/52123f12f8ee4039896db68885acdb01

Parametric Solution of Certain Nonlinear Differential Equations in Cosmology

Autor: Jennie D'Ambroise, Floyd L. Williams

Publikováno v: Journal of Nonlinear Mathematical Physics. 18:269

We obtain in terms of the Weierstrass elliptic $\wp-$function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8043fee2dc417e7beccba8f7cd1e154e
https://doi.org/10.1142/s140292511100143x

Multidimensional discrete compactons in nonlinear Schrödinger lattices with strong nonlinearity management

Autor: Panayotis G. Kevrekidis, Jennie D'Ambroise, F. Kh. Abdullaev, Mario Salerno

The existence of multidimensional lattice compactons in the discrete nonlinear Schr¨odinger equation in the presence of fast periodic time modulations of the nonlinearity is demonstrated. By averaging over the period of the fast modulations, an effe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d47e5e37b4af97173e0e586e975c8c59
http://hdl.handle.net/11386/4672201

PT-symmetric ladders with a scattering core

Autor: Boris A. Malomed, Panayotis G. Kevrekidis, Jennie D'Ambroise, Stefano Lepri

Publikováno v: Physics Letter A
378 (2014): 2824–2830. doi:10.1016/j.physleta.2014.07.037
info:cnr-pdr/source/autori:J. D'Ambroise (a); S. Lepri (b,c); B.A. Malomed (d); P.G. Kevrekidis (e)/titolo:PT-symmetric ladders with a scattering core/doi:10.1016%2Fj.physleta.2014.07.037/rivista:Physics Letter A (Print)/anno:2014/pagina_da:2824/pagina_a:2830/intervallo_pagine:2824–2830/volume:378

We consider a PT-symmetric chain (ladder-shaped) system governed by the discrete nonlinear Schrodinger equation where the cubic nonlinearity is carried solely by two central "rungs" of the ladder. Two branches of scattering solutions for incident pla

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98884610b190f6c7850791a2202c50f3
http://www.cnr.it/prodotto/i/285762