Discrete Nonlinear Schrödinger versus Ablowitz-Ladik: Existence and dynamics of generalized focusing NLS-type lattices over a nonzero background

Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +1

The question of well-posedness of the generalized focusing Ablowitz-Ladik and Discrete Nonlinear Schrödinger equations with \textit{nonzero} boundary conditions on the infinite la…