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.
Bihamiltonian structure of the $(n,1)$-type rational reductions of the 2D-Toda hierarchy
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abstract
We derive a local bihamiltonian structure for the rational reduction of the 2D-Toda hierarchy (RR2T) of $(n,1)$-type by direct computations, and construct an $(n+1)$-dimensional semisimple generalized Frobenius manifold with non-flat unity whose Principal Hierarchy contains its dispersionless flows.
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nlin.SI 1years
2026 1verdicts
UNVERDICTED 1representative citing 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.