Differential Fay identities and auxiliary linear problem of integrable hiearchies

zbMath1259.37043arXiv0710.5356MaRDI QIDQ3118340

Kanehisa Takasaki

Publication date: 2 March 2012

Full work available at URL: https://arxiv.org/abs/0710.5356

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (14)

Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit ⋮ Integrable structure of melting crystal model with two \(q\)-parameters ⋮ Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds ⋮ 4D limit of melting crystal model and its integrable structure ⋮ Löwner equations and reductions of dispersionless hierarchies ⋮ Infinite-dimensional Frobenius manifolds for \(2+1\) integrable systems ⋮ New integrable (\(3+1\))-dimensional systems and contact geometry ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ From additional symmetries to linearization of Virasoro symmetries ⋮ KP hierarchy and trigonometric Calogero–Moser hierarchy ⋮ Symmetric matrix ensemble and integrable hydrodynamic chains ⋮ Combinatorics of dispersionless integrable systems and universality in random matrix theory ⋮ Darboux transformations and Fay identities for the extended bigraded Toda hierarchy ⋮ Integrable hierarchies associated to infinite families of Frobenius manifolds

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