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The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold
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The extended Ablowitz-Ladik hierarchy and a generalized Frobenius manifold
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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.
Forward citations
Cited by 2 Pith papers
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Tri-Hamiltonian structure of an asymmetric generalized Ablowitz-Ladik hierarchy and a Frobenius manifold
Constructs and proves a tri-Hamiltonian structure for an asymmetric generalized Ablowitz-Ladik hierarchy and associates its dispersionless limit with the principal hierarchy of a derived Frobenius manifold.
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Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy
Derives local bihamiltonian structure for (n,1) rational reduction of 2D-Toda hierarchy and constructs associated generalized Frobenius manifold.
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