Title: Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line,
Abstract: We derive asymptotic formulas for the solution of the derivative nonlinear
Schrödinger equation on the half-line under the assumption that the initial
and boundary values lie in the Schwartz class. The formulas clearly show the
effect of the boundary on the solution. The approach is based on a nonlinear
steepest descent analysis of an associated Riemann-Hilbert problem.