English

The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold

Mathematical Physics 2024-04-16 v1 math.MP

Abstract

We define a certain extension of the Ablowitz-Ladik hierarchy, and prove that this extended integrable hierarchy coincides with the topological deformation of the Principal Hierarchy of a generalized Frobenius manifold with non-flat unity.

Keywords

Cite

@article{arxiv.2404.08895,
  title  = {The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold},
  author = {Si-Qi Liu and Yuewei Wang and Youjin Zhang},
  journal= {arXiv preprint arXiv:2404.08895},
  year   = {2024}
}