Reduction in soliton hierarchies and special points of classical \(r\)-matrices
DOI10.1016/J.GEOMPHYS.2018.03.023zbMath1431.37055OpenAlexW2795545237MaRDI QIDQ1635475
Publication date: 6 June 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2018.03.023
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) Yang-Baxter equations (16T25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves
- Decompositions of quasigraded Lie algebras, non-skew-symmetric classical \(r\)-matrices and generalized Gaudin models
- Classical double, \(R\)-operators, and negative flows of integrable hierarchies
- Bäcklund-Darboux transformation for classical Yang-Baxter bundles
- What is a classical r-matrix?
- Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
- The reduction problem and the inverse scattering method
- Dual \(R\)-matrix integrability
- Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
- Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
- Toda equations associated with loop groups of complex classical Lie groups
- Generalized shift elements and classical \(r\)-matrices: construction and applications
- New integrable Gaudin-type systems, classical \(r\)-matrices and quasigraded Lie algebras
- Special quasigraded Lie algebras and integrable Hamiltonian systems
- Classical \(R\)-operators and integrable generalizations of Thirring equations
- Quasigraded Lie algebras and modified Toda field equations
- Reductions in finite-dimensional integrable systems and special points of classical r-matrices
- Deformations of loop algebras and integrable systems: hierarchies of integrable equations
- “Many-poled” r-matrix Lie algebras, Lax operators, and integrable systems
- Modified non-Abelian Toda field equations and twisted quasigraded Lie algebras
- Quantum integrable systems, non-skew-symmetric r-matrices and algebraic Bethe ansatz
- Doubled generalized Landau–Lifshitz hierarchies and special quasigraded Lie algebras
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches
- Generalized Gaudin systems in a magnetic field and non-skew-symmetricr-matrices
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
- Multicomponent generalization of the hierarchy of the Landau-Lifshits equation
- Quadratic algebras and integrable systems
This page was built for publication: Reduction in soliton hierarchies and special points of classical \(r\)-matrices
