5 citations · 5 across the 4 of their papers we have counts for
4 papers
Semiclassical dynamics and coherent soliton ensembles in the derivative nonlinear Schrödinger equation with periodic initial conditions
Zachery Wolski, Zechuan Zhang, Gino Biondini +1
The semiclassical limit of the derivative nonlinear Schrodinger equation with periodic initial conditions is studied analytically and numerically. The spectrum of the associated sc…
Spectral theory for non-self-adjoint Dirac operators with periodic potentials and inverse scattering transform for the focusing nonlinear Schrödinger equation with periodic boundary conditions
Gino Biondini, Gregor Kovačič, Alexander Tovbis +2
We formulate the inverse spectral theory for a non-self-adjoint one-dimensional Dirac operator associated periodic potentials via a Riemann-Hilbert problem approach. We use the res…
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 Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background
Asela Abeya, Gino Biondini, Gregor Kovačič +1
The inverse scattering transform is developed to solve the Maxwell-Bloch system of equations that describes two-level systems with inhomogeneous broadening, in the case of optical…