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Stationary systems of the AKNS hierarchy

Exactly Solvable and Integrable Systems 2024-12-02 v1 Mathematical Physics math.MP

Abstract

In this article we investigate stationary systems of the AKNS hierarchy. We prove that all these systems are classical separable St\"ackel systems. The explicit transformation from jet variables to separation coordinates is obtained by comparing Lax representations in jet and separable coordinates.

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Cite

@article{arxiv.2411.19691,
  title  = {Stationary systems of the AKNS hierarchy},
  author = {Maciej Błaszak and Krzysztof Marciniak and Błażej M. Szablikowski},
  journal= {arXiv preprint arXiv:2411.19691},
  year   = {2024}
}

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16 pages