148 citations · 187 across the 25 of their papers we have counts for
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On the proximity of Ablowitz-Ladik and discrete Nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions
Madison L. Lytle, Efstathios G. Charalampidis, Dionyssios Mantzavinos +3
In this work, we investigate the formation of time-periodic solutions with a non-zero background that emulate rogue waves, known as Kuzentsov-Ma (KM) breathers, in physically relev…
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
Soliton trapping, transmission and wake in modulationally unstable media
Gino Biondini, Sitai Li, Dionyssios Mantzavinos
Interactions between solitons and the coherent oscillation structures generated by localized disturbances via modulational instability are studied within the framework of the focus…
Universal behavior of modulationally unstable media
Gino Biondini, Sitai Li, Dionyssis Mantzavinos +1
Evidence is presented of universal behavior in modulationally unstable media. An ensemble of nonlinear evolution equations, including three partial differential equations, an integ…
Universal nature of the nonlinear stage of modulational instability
Gino Biondini, Dionyssis Mantzavinos
We characterize the nonlinear stage of modulational instability (MI) by studying the long-time asymptotics of focusing nonlinear Schrodinger (NLS) equation on the infinite line wit…