Tau function solutions to a \(q\)-deformation of the KP hierarchy
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Publication:1127615
DOI10.1023/A:1007446005535zbMath0909.35120OpenAlexW1633541815MaRDI QIDQ1127615
Publication date: 9 August 1998
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1007446005535
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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (17)
Lax Matrices for Yang-Baxter Maps ⋮ The ghost symmetries of the q-KP hierarchy ⋮ String equations of the \( q \)-KP hierarchy ⋮ Discrete AKNS-D 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 ⋮ Symmetric \(q\)-deformed KP hierarchy ⋮ Sato theory on the \(q\)-Toda hierarchy and its extension ⋮ A new extended q-deformed KP hierarchy ⋮ \(q\)-universal characters and an extension of the lattice \(q\)-universal characters ⋮ Integrability on generalized q-Toda equation and hierarchy ⋮ The gauge transformation of the q-deformed modified KP 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 ⋮ On the \(q\)-deformed modified Korteweg-de Vries hierarchy ⋮ \(q\)-KP hierarchy, bispectrality and Calogero-Moser systems ⋮ \(q\)-analogue of modified KP hierarchy and its quasi-classical limit
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