Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates
Exactly Solvable and Integrable Systems
2018-11-21 v1
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.
Cite
@article{arxiv.1811.08373,
title = {Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates},
author = {Katelyn Plaisier Leisman and Gino Biondini and Gregor Kovacic},
journal= {arXiv preprint arXiv:1811.08373},
year = {2018}
}
Comments
11 pages, 6 figures, to appear in Physics Letters A