On a non-standard algebraic description of integrable nonlinear systems

DOI10.1016/0378-4371(93)90244-XzbMath0806.35169OpenAlexW2131767845MaRDI QIDQ1330328

Maciej Błaszak

Publication date: 20 September 1994

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(93)90244-x

zbMATH Keywords

completely integrable bi-Hamiltonian nonlinear evolution equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Basic quantizations of \(D=4\) Euclidean, Lorentz, Kleinian and quaternionic \( {\mathfrak{o}}^{\star}(4) \) symmetries ⋮ Bi-Hamiltonian formulation for the Korteweg–de Vries hierarchy with sources ⋮ Separability of two-Casimir bi- and tri-Hamiltonian chains ⋮ Quantized W-algebra of sl(2, 1) and Quantum Parafermions of Uq(^sl(2))

Cites Work

• Bi-Hamiltonian dynamical systems related to low-dimensional Lie algebras
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• New hierarchies of nonlinear completely integrable systems related to a change of variables for evolution parameters
• Modifying Lax equations and the second Hamiltonian structure
• Mathematics of dispersive water waves
• A simple model of the integrable Hamiltonian equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item