42 citations · 123 across the 9 of their papers we have counts for
11 papers
On the coupled Maxwell-Bloch system of equations with non-decaying fields at infinity
Sitai Li, Gino Biondini, Gregor Kovacic
We study an initial-boundary-value problem (IBVP) for a system of coupled Maxwell-Bloch equations (CMBE) that model two colors or polarizations of light resonantly interacting with…
On zero-background solitons of the sharp-line Maxwell-Bloch equations
Sitai Li
This work is devoted to systematically study general -soliton solutions possibly containing multiple degenerate soliton groups (DSGs), in the context of the sharp-line Maxwell-B…
On the Maxwell-Bloch System in the Sharp-Line Limit Without Solitons
Sitai Li, Peter D. Miller
We study the (characteristic) Cauchy problem for the Maxwell-Bloch equations of light-matter interaction via asymptotics, under assumptions that prevent the generation of solitons.…
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…
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…