Focusing NLS Equations with Nonzero Boundary Conditions: Triangular Representations and Direct Scattering
- 10.2991/jnmp.k.200922.006How to use a DOI?
- AKNS system; triangular representation
In this article we derive the triangular representations of the fundamental eigensolutions of the focusing 1 + 1 AKNS system with symmetric nonvanishing boundary conditions. Its continuous spectrum equals , where μ is the absolute value of the AKNS solution at spatial infinity. We also study the behavior of the scattering coefficients near the endpoints ±iμ of the branch cut, where we distinguish between the generic case and the exceptional case.
- © 2020 The Author. Published by Atlantis Press B.V.
- 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 - Cornelis van der Mee PY - 2020 DA - 2020/12/10 TI - Focusing NLS Equations with Nonzero Boundary Conditions: Triangular Representations and Direct Scattering JO - Journal of Nonlinear Mathematical Physics SP - 68 EP - 89 VL - 28 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.k.200922.006 DO - 10.2991/jnmp.k.200922.006 ID - vanderMee2020 ER -