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nlin.SI2023
The periodic N breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties
F. Coppini, P. G. Grinevich, P. M. Santini
The integrable focusing Davey-Stewarson (DS) equations, multidimensional generalizations of the focusing cubic nonlinear Schrödinger (NLS) equation, provide ideal mathematical mode…
nlin.SI2023
The effect of loss/gain and hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves
Francesco Coppini, Paolo Maria Santini
The Ablowitz-Ladik (AL) equations are distinguished integrable discretizations of the focusing and defocusing nonlinear Schrödinger (NLS) equations. In a previous paper (arXiv:2305…