The numerical unified transform method for the nonlinear Schrödinger equation on the half-line
The numerical unified transform method for the nonlinear Schrödinger equation on the half-line
We implement the numerical unified transform method to solve the nonlinear Schrödinger equation on the half-line. For the so-called linearizable boundary conditions, the method solves the half-line problems with comparable complexity as the numerical inverse scattering transform solves whole-line problems. In particular, the method computes the solution at any <mml:math …