The Nonlinear Schrödinger Equation on the Interval

A. S. Fokas, A. R. Its

Let $q(x,t)$ satisfy the Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation on the finite interval, $0<x<L$, with $q_0(x)=q(x,0)$, $g_{0}(t) =…