304 citations · 9.7k across the 421 of their papers we have counts for
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The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates
Todd Kapitula, Panayotis Kevrekidis, Dong Yan
When finding the nonzero eigenvalues for Hamiltonian eigenvalue problems it is especially important to locate not only the unstable eigenvalues (i.e., those with positive real part…
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…
Scattering of atomic dark-bright solitons from narrow impurities
A. Álvarez, J. Cuevas, F. R. Romero +5
In this work, we study the collision of an atomic dark-bright soliton, in a two-component Bose-Einstein condensate, with a Gaussian barrier or well. First, we present the results o…
Dark Breathers in Granular Crystals
C. Chong, P. G. Kevrekidis, G. Theocharis +1
We present a study of the existence, stability and bifurcation structure of families of dark breathers in a one-dimensional uniform chain of spherical beads under static load. A de…
PT-symmetric Double Well Potentials Revisited: Bifurcations, Stability and Dynamics
A. S. Rodrigues, K. Li, V. Achilleos +3
In this work we analyze PT-symmetric double-well potentials based on a two-mode picture. We reduce the problem into a PT-symmetric dimer and illustrate that the latter has effectiv…
Cubic-Quintic Long-Range Interactions With Double Well Potentials
Panagiotis A. Tsilifis, Panagiotis G. Kevrekidis, Vassilios M. Rothos
In the present work, we examine the combined effects of cubic and quintic terms of the long range type in the dynamics of a double well potential. Employing a two-mode approximatio…