Two extensions of 1D Toda hierarchy

DOI10.1088/1751-8113/43/43/434032zbMath1202.35200arXiv1002.4688OpenAlexW2054228478MaRDI QIDQ3057447

Kanehisa Takasaki

Publication date: 24 November 2010

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

Full work available at URL: https://arxiv.org/abs/1002.4688

zbMATH Keywords

Lax equationToda hierarchy\(2+1\)D extension

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy ⋮ Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy ⋮ Extended lattice Gelfand–Dickey hierarchy ⋮ A note on the extended dispersionless Toda hierarchy ⋮ Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions ⋮ Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy ⋮ Darboux transformations and Fay identities for the extended bigraded Toda hierarchy

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