A note on the Poisson brackets associated with Lax operators
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Publication:1964817
DOI10.1016/0375-9601(94)90925-3zbMath0941.37533OpenAlexW2054035535MaRDI QIDQ1964817
Publication date: 6 February 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0375-9601(94)90925-3
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17)
Related Items
\({\mathcal R}\)-matrix approach to multi-Hamiltonian Lax dynamics ⋮ Constrained KP models as integrable matrix hierarchies ⋮ Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices ⋮ On the integrable hierarchies associated with the \(N=2\) super \(W_ n\) algebra. ⋮ Poisson algebras associated with constrained dispersionless modified Kadomtsev–Petviashvili hierarchies ⋮ On the Miura Map between the dispersionless KP and dispersionless modified KP hierarchies ⋮ Flat pencils of symplectic connections and Hamiltonian operators of degree 2 ⋮ Lie algebraic approach to the construction of (2+1)-dimensional lattice-field and field integrable Hamiltonian equations
Cites Work
- Integrable Hamiltonian systems connected with graded Lie algebras
- What is a classical r-matrix?
- Nonlinear Poisson structures and r-matrices
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- The resolvent and Hamiltonian systems
- Constrained KP hierarchy and bi-Hamiltonian structures
- Mathematics of dispersive water waves
- A Remark on the Commuting Flows Defined by Lax Equations
- The AKNS hierarchy as symmetry constraint of the KP hierarchy
- Symmetry constraints of the KP hierarchy
- Constraints of the Kadomtsev–Petviashvili hierarchy
- GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
- SQUARED EIGENFUNCTIONS OF THE (MODIFIED) KP HIERARCHY AND SCATTERING PROBLEMS OF LOEWNER TYPE
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