English

AKNS hierarchy and finite-gap Schrodinger potentials

Mathematical Physics 2023-04-27 v3 Classical Analysis and ODEs math.MP

Abstract

In this paper we study AKNS hierarchy. We find explicit necessary conditions for functions pp and qq to be solution of some equation of AKNS hierarchy. Then we construct finite-gap Schrodinger potential using functions pp and qq.

Keywords

Cite

@article{arxiv.1512.03981,
  title  = {AKNS hierarchy and finite-gap Schrodinger potentials},
  author = {Vardan Oganesyan},
  journal= {arXiv preprint arXiv:1512.03981},
  year   = {2023}
}

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16 pages