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.
Vekslerchik, ‘Universality’ of the Ablowitz–Ladik hierarchy, eprint solv- int/9807005 (1998)
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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.