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4 papers
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…
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…
Recurrence due to periodic multi-soliton fission in the defocusing nonlinear Schrodinger equation
Guo Deng, Sitai Li, Gino Biondini +1
We address the degree of universality of the Fermi-Pasta-Ulam recurrence induced by multisoliton fission from a harmonic excitation by analysing the case of the semiclassical defoc…
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…