62 citations · 231 across the 6 of their papers we have counts for
10 papers
Three types of spectra in one-dimensional systems with random correlated binary potential
O. V. Usatenko, S. S. Melnik, V. A. Yampol'skii +3
The stationary one-dimensional tight-binding Schredinger equation with a weak diagonal long-range correlated disorder in the potential is studied. An algorithm for constructing the…
Statistical mechanics of general discrete nonlinear Schr{ö}dinger models: Localization transition and its relevance for Klein-Gordon lattices
Magnus Johansson, Kim O. Rasmussen
We extend earlier work [Phys.Rev.Lett. 84, 3740 (2000)] on the statistical mechanics of the cubic one-dimensional discrete nonlinear Schrodinger (DNLS) equation to a more general c…
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.