Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction
Exactly Solvable and Integrable Systems
2017-04-26 v1
Abstract
In this letter we propose an approach to obtain solutions for the nonlocal nonlinear Schr\"{o}dinger hierarchy from the known ones of the Ablowitz-Kaup-Newell-Segur hierarchy by reduction. These solutions are presented in terms of double Wronskian and some of them are new.The approach is general and can be used for other systems with double Wronskian solutions which admit local and nonlocal reductions.
Keywords
Cite
@article{arxiv.1704.07641,
title = {Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction},
author = {Kui Chen and Da-jun Zhang},
journal= {arXiv preprint arXiv:1704.07641},
year = {2017}
}
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9 pages