Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices

F. Coppini, P. M. Santini

The Ablowitz-Ladik equations, hereafter called $A{L}_{+}$ and $A{L}_{-}$, are distinguished integrable discretizations of respectively the focusing and defocusing nonlinear Schrödinger (NL…