On the constrained KP hierarchy

DOI10.1007/BF00750069zbMath0839.35126arXivhep-th/9407038OpenAlexW4242016883MaRDI QIDQ1900480

L. A. Dickey

Publication date: 31 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9407038

zbMATH Keywords

symmetriesKP hierarchyKdV hierarchiesconstrained hierarchies

Mathematics Subject Classification ID

Related Items (10)

Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction ⋮ On the constrained KP hierarchy. II ⋮ The constrained KP hierarchy and the bigraded Toda hierarchy of \((M, 1)\)-type ⋮ A new extended KP hierarchy ⋮ Additional symmetries of the dispersionless cKP hierarchy ⋮ Some types of solutions and generalized binary Darboux transformation for the mkp equation with self-consistent sources ⋮ On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula ⋮ Toda lattice realization of integrable hierarchies ⋮ An extended two-dimensional Toda lattice hierarchy and two-dimensional Toda lattice with self-consistent sources ⋮ On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry

Cites Work

• Unnamed Item
• Multi-field representations of the KP hierarchy and multi-matrix models
• Constrained KP hierarchy and bi-Hamiltonian structures
• From the \(w_\infty\)-algebra to its central extension: a \(\tau\)-function approach
• On additional symmetries of the KP hierarchy and Sato's Bäcklund transformation
• Additional symmetries for integrable equations and conformal algebra representation
• On two-current realization of KP hierarchy
• A unified approach to recursion operators if the reduced (1 + 1)-dimensional Hamiltonian systems
• Constraints of the Kadomtsev–Petviashvili hierarchy

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