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Gap and out-gap breathers in a binary modulated discrete nonlinear Schrödinger model
Andrey V. Gorbach, Magnus Johansson
We consider a modulated discrete nonlinear Schrödinger (DNLS) model with alternating on-site potential, having a linear spectrum with two branches separated by a 'forbidden' gap. N…
Quasiperiodic localized oscillating solutions in the discrete nonlinear Schrödinger equation with alternating on-site potential
Magnus Johansson, Andrey V. Gorbach
We present what we believe to be the first known example of an exact quasiperiodic localized stable solution with spatially symmetric large-amplitude oscillations in a non-integrab…
Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger trimer: oscillatory instabilities, quasiperiodic solutions and a 'new' type of self-trapping transition
Magnus Johansson
Oscillatory instabilities in Hamiltonian anharmonic lattices are known to appear through Hamiltonian Hopf bifurcations of certain time-periodic solutions of multibreather type. Her…
The Discrete Nonlinear Schrödinger equation - 20 Years on
J. Chris Eilbeck, Magnus Johansson
We review work on the Discrete Nonlinear Schrödinger (DNLS) equation over the last two decades.