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arXiv · 2607.23422

Loop Algebra Splitting and Darboux Transformations for Nonlocal Derivative Nonlinear Schr\"odinger Hierarchies

Ziqi Li·Zhiwei Wu
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Abstract

We develop a unified algebraic framework for nonlocal derivative nonlinear Schr\"odinger (DNLS)-type hierarchies based on loop algebra splittings. Within this framework, nonlocal and reverse space-time reductions are realized through algebraic constraints, leading to the corresponding integrable hierarchies. By constructing simple elements and establishing the associated factorization theory, we derive Darboux transformations (DTs). And apply DTs to construct explicit solutions.

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Ziqi Li, Zhiwei Wu. 2026-07-26. Loop Algebra Splitting and Darboux Transformations for Nonlocal Derivative Nonlinear Schr\"odinger Hierarchies. https://arxiv.org/abs/2607.23422

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