P M Santini

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20012026

most citedInverse Scattering Problem for Vector Fields and the Cauchy Problem for the Heavenly Equation

94 citations · 404 across the 21 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

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★ 1 cited

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…