Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction

Kui Chen; Da-jun Zhang

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arXiv · 1704.07641

Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction

Kui Chen·Da-jun Zhang

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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.

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Kui Chen, Da-jun Zhang. 2017-04-25. Solutions of the nonlocal nonlinear Schr\"odinger hierarchy via reduction. https://arxiv.org/abs/1704.07641

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