Volume 17, Issue 4, December 2010, Pages 445 - 452
Explicit Soliton Asymptotics for the Nonlinear Schrödinger Equation on the Half-Line
Authors
K. Kalimeris
Center of Applied Mathematics, Ecole Polytechnique, 91128 Palaiseau Cedex, France,kalimeris@cmap.polytechnique.fr
Received 27 May 2009, Accepted 10 August 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925110000994How to use a DOI?
- Keywords
- Schrödinger; linearizable boundary conditions; soliton; simultaneous spectral analysis
- Abstract
There exists a particular class of boundary value problems for integrable nonlinear evolution equations formulated on the half-line, called linearizable. For this class of boundary value problems, the Fokas method yields a formalism for the solution of the associated initial-boundary value problem, which is as efficient as the analogous formalism for the Cauchy problem. Here, we employ this formalism for the analysis of several concrete initial-boundary value problems for the nonlinear Schrödinger equation. This includes problems involving initial conditions of a hump type coupled with boundary conditions of Robin type.
- Copyright
- © 2010 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - K. Kalimeris PY - 2021 DA - 2021/01/07 TI - Explicit Soliton Asymptotics for the Nonlinear Schrödinger Equation on the Half-Line JO - Journal of Nonlinear Mathematical Physics SP - 445 EP - 452 VL - 17 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110000994 DO - 10.1142/S1402925110000994 ID - Kalimeris2021 ER -