On the sub-KP hierarchy and its constraints, revisited

DOI10.1142/S0129055X14500196zbMath1336.37057OpenAlexW2026452438MaRDI QIDQ5175600

Dafeng Zuo, Ling Zhang, Qing Chen

Publication date: 24 February 2015

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

Full work available at URL: https://doi.org/10.1142/s0129055x14500196

zbMATH Keywords

Witt algebraadditional symmetry(constrained) \(\mathcal{BC}_{r}\)-KP hierarchy\(\omega_\infty^{\mathcal{BC}_{r}}\)-algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items

On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries ⋮ Hamiltonian structures of the constrained \(\mathfrak{F}\)-valued KP hierarchy ⋮ Bilinear Identities and Squared Eigenfunction Symmetries of the BC _r -KP Hierarchy ⋮ CKP hierarchy and free bosons ⋮ Gauge Transformation for BC _r -KP Hierarchy and Its Compatibility with Additional Symmetry

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