119 citations · 264 across the 23 of their papers we have counts for
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Eigenstates and instabilities of chains with embedded defects
J. D'Ambroise, P. G. Kevrekidis, S. Lepri
We consider the eigenvalue problem for one-dimensional linear Schrödinger lattices (tight-binding) with an embedded few-sites linear or nonlinear, Hamiltonian or non-conservative d…
Parametric Solution Of Certain Nonlinear Differential Equations In Cosmology II
Jennie D'Ambroise, Floyd L. Williams
This paper continues earlier work where an explicit parametrized solution of a particular nonlinear ordinary differential equation was obtained in terms of the Weierstrass elliptic…
Parametric solution of certain nonlinear differential equations in cosmology
Jennie D'Ambroise, Floyd L. Williams
We obtain in terms of the Weierstrass elliptic function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential…
Asymmetric Wave Propagation Through Nonlinear PT-symmetric Oligomers
J. D'Ambroise, P. G. Kevrekidis, S. Lepri
In the present paper, we consider nonlinear PT-symmetric dimers and trimers (more generally, oligomers) embedded within a linear Schr{ö}dinger lattice. We examine the stationary st…