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20172024
most citedRecurrence due to periodic multi-soliton fission in the defocusing nonlinear Schrodinger equation

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nlin.SI2019

Inverse scattering transform for two-level systems with nonzero background

Gino Biondini, Ildar Gabitov, Gregor Kovacic +1

We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of equations describing the resonant interaction of light and active optical media in the case whe…

math.AP2019

Long-time Asymptotics for the Focusing Nonlinear Schrödinger Equation with Nonzero Boundary Conditions in the Presence of a Discrete Spectrum

Gino Biondini, Sitai Li, Dionyssios Mantzavinos

The long-time asymptotic behavior of solutions to the focusing nonlinear Schrödinger (NLS) equation on the line with symmetric, nonzero boundary conditions at infinity is studied i…