Sato theory on the \(q\)-Toda hierarchy and its extension

DOI10.1016/j.chaos.2015.03.008zbMath1352.37179arXiv1504.06125OpenAlexW2046952727MaRDI QIDQ727806

Chuanzhong Li

Publication date: 21 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06125

zbMATH Keywords

tau functionHirota bilinear equations\(q\)-deformed Toda hierarchymulti-fold Darboux transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries, Ghost symmetries and multi-fold Darboux transformations of extended Toda hierarchy, Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method, Integrability on generalized q-Toda equation and hierarchy, Bi-Hamiltonian structure of the extended noncommutative Toda hierarchy, Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies

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