@article{JG2004,
abstract = {We present an example of an exact quasiperiodic localized stable solution
with spatially symmetric large-amplitude oscillations in a nonintegrable
Hamiltonian lattice model. The model is a one-dimensional discrete
nonlinear Schrodinger equation with alternating on-site energies,
modeling, e.g., an array of optical waveguides with alternating widths.
The solution bifurcates from a stationary discrete gap soliton, and
in a regime of large oscillations its intensity oscillates periodically
between having one peak at the central site and two symmetric peaks
at the neighboring sites with a dip in the middle. Such solutions,
termed ``pulsons,{''} are found to exist in continuous families ranging
arbitrarily close to both the anticontinuous and continuous limits.
Furthermore, it is shown that they may be linearly stable also in
a regime of large oscillations.},
author = {Johansson, M and Gorbach, A V},
doi = {10.1103/PhysRevE.70.057604},
issn = {1063-651X},
journal = {PHYSICAL REVIEW E},
month = {nov},
number = {5, Part 2},
title = {{Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrodinger equation with alternating on-site potential}},
volume = {70},
year = {2004}
}