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<p>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.</p>

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The Extended Ablowitz–Ladik Hierarchy and a Generalized Frobenius Manifold

  • 期刊论文

  • 发表日期：

    2026年8月1日

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  • Si-Qi Liu,
  • Yuewei Wang,
  • Youjin Zhang

摘要

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.