Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data
Abbreviated Journal Title
Int. Math. Res. Notices
DISPERSION LIMIT SOLUTIONS; ASYMPTOTICS; Mathematics
We consider the semiclassical limit for the focusing nonlinear (cubic) Schrodinger Equation (NLS) in the pure radiational case. We present a method of reconstructing the leading order terms of the solitonless initial data and of its evolution for a wide class of the corresponding reflection coefficients.
International Mathematics Research Notices
"Semiclassical Focusing Nonlinear Schrodinger Equation I: Inverse scattering map and its evolution for radiative initial data" (2007). Faculty Bibliography 2000s. 7718.