\(q\)-deformed KP hierarchy: Its additional symmetries and infinitesimal Bäcklund transformations

DOI10.1023/A:1007647722911zbMath0949.37052arXivsolv-int/9811010OpenAlexW3112293807MaRDI QIDQ1962566

Ming-Hsien Tu

Publication date: 10 December 2000

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9811010

zbMATH Keywords

Bäcklund transformationsVirasoro algebrasKadomtsev-Petviashvili hierarchy

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (13)

The ghost symmetries of the q-KP hierarchy ⋮ String equations of the \( q \)-KP hierarchy ⋮ The gauge transformations of the constrained \(q\)-deformed modified KP hierarchy and their relations with the additional symmetries ⋮ Two kinds of Darboux-Bäcklund transformations for the \(q\)-deformed KdV hierarchy with self-consistent sources ⋮ Generalized dressing method for the extended two-dimensional Toda lattice hierarchy and its reductions ⋮ Symmetric \(q\)-deformed KP hierarchy ⋮ The determinant representation of the gauge transformation for the discrete KP hierarchy ⋮ Sato theory on the \(q\)-Toda hierarchy and its extension ⋮ A new extended q-deformed KP hierarchy ⋮ Integrability on generalized q-Toda equation and hierarchy ⋮ Miura and auto-Backlund transformations for the q-deformed KP and q-deformed modified KP hierarchies ⋮ Virasoro symmetry of the constrained multi-component \(q\)-KP and \(q\)-MKP hierarchies ⋮ \(q\)-analogue of modified KP hierarchy and its quasi-classical limit

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