Formal solutions to the KP hierarchy

DOI10.1088/1751-8113/49/14/145206zbMath1346.37055arXiv1509.04472OpenAlexW2964297694MaRDI QIDQ3186447

Sergey M. Natanzon, Anton V. Zabrodin

Publication date: 9 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04472

zbMATH Keywords

integrable hierarchiesHirota equationtau-function

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 (8)

Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮ Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds ⋮ Genus expansion of matrix models and \(\hbar\) expansion of KP hierarchy ⋮ KP hierarchy and trigonometric Calogero–Moser hierarchy ⋮ Kadomtsev-Petviashvili hierarchies of types B and C ⋮ Kadomtsev-Petviashvili turning points and CKP hierarchy ⋮ Polynomial graph invariants and linear hierarchies ⋮ Integrable hierarchies associated to infinite families of Frobenius manifolds

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