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The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold

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arxiv 2404.08895 v1 pith:O2EQF5XP submitted 2024-04-13 math-ph math.MP

Si-Qi Liu , Yuewei Wang , Youjin Zhang This is my paper · ORCID
classification math-phmath.MP
keywords hierarchyablowitz-ladikextendedfrobeniusgeneralizedmanifoldcertaincoincides
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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.

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  1. Legendre transformations of a class of generalized Frobenius manifolds and the associated integrable hierarchies

    math-ph 2024-11 conditional novelty 6.0 of 10

    Legendre-type transformations of generalized Frobenius manifolds induce linear reciprocal transformations between their Legendre-extended integrable hierarchies and between their topological deformations.

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