Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy

DOI10.3842/SIGMA.2009.109zbMath1189.37071arXiv0908.3569MaRDI QIDQ970300

Kanehisa Takasaki

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3569

zbMATH Keywords

spectral curveintegrable hierarchyauxiliary linear problemdispersionless limitFay-like identityquasi-classical deformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (8)

Löwner equations and reductions of dispersionless hierarchies ⋮ Pfaffian and determinantal tau functions ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Character expansion of matrix integrals ⋮ Deformed Ginibre ensembles and integrable systems ⋮ Dispersionless integrable hierarchies and GL(2, ℝ) geometry ⋮ Symmetric matrix ensemble and integrable hydrodynamic chains ⋮ Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation

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