Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates
arXiv:1811.08373
Abstract
Boundary value problems for the nonlinear Schrodinger equation on the half line in laboratory coordinates are considered. A class of boundary conditions that lead to linearizable problems is identified by introducing appropriate extensions to initial-value problems on the infinite line, either explicitly or by constructing a suitable Backlund transformation. Various soliton solutions are explicitly constructed and studied.
11 pages, 6 figures, to appear in Physics Letters A