Ground states in spatially discrete non-linear Schrödinger models Page 1 Nonlinearity PAPER •
OPEN ACCESS Ground states in spatially discrete non-linear Schrödinger models To cite this …

We demonstrate experimentally and corroborate numerically that an electrical lattice with
nearest-neighbor and second-neighbor coupling can simultaneously support long-lived …

In his seminal work, Weinstein considered the question of the ground states for discrete
Schr\" odinger equations with power law nonlinearities, posed on ${\mathbb Z}^ d $. More …

We consider the existence and spectral stability of nonlinear discrete localized solutions
representing light pulses propagating in a twisted multicore optical fiber. By considering an …

We consider the problem of the continuation with respect to a small parameter ɛ of spatially
localized and time periodic solutions in 1-dimensional dNLS lattices, where ɛ represents the …

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 …

We prove the existence of exponentially and superexponentially localized breather solutions
for discrete nonlinear Klein–Gordon systems. Our approach considers-dimensional infinite …

We reconsider the classical problem of the continuation of degenerate periodic orbits in
Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking of …

We consider the classical problem of the continuation of periodic orbits surviving to the
breaking of invariant lower dimensional resonant tori in nearly integrable Hamiltonian …

We study equilibria of a discrete Landau–de Gennes energy functional for nematic liquid
crystals in the small intersite coupling regime. We consider the 3× 3 Q− tensor case in finite …