Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line (Q1048062)

For the boundary value problem \[ iq_t+q_{xx}+2|q|^2 q=0,\; x,t>0, \] \[ q(x,0)=q_0(x),\; q(0,t)= ae^{i\alpha}e^{2i\omega t}, \] the asymptotic behavior of the solution is studied. The main tool is the asymptotic analysis of an associated matrix Riemann-Hilbert problem.