4 citations · 7 across the 4 of their papers we have counts for
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Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media
Mason A. Porter, Chiara Daraio, Ivan Szelengowicz +2
We use experiments, numerical simulations, and theoretical analysis to investigate the propagation of highly nonlinear solitary waves in periodic arrangements of dimer (two-mass) a…
Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
F. Palmero, R. Carretero-González, J. Cuevas +2
In this paper we analyze the existence, stability, dynamical formation and mobility properties of localized solutions in a one-dimensional system described by the discrete nonlinea…
Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit re…
Nonlinear Schrödinger lattices I: Stability of discrete solitons
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit re…
Focusing Revisited: an MN-dynamics Approach
C. I. Siettos, I. G. Kevrekidis, P. G. Kevrekidis
The nonlinear Schr{ö}dinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar fo…