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math.AP2021
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.…
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…