Reduction in soliton hierarchies, elliptic Lie algebras of Holod and Krichever-Novikov-type equations

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Classical double, \(R\)-operators, and negative flows of integrable hierarchies
Bäcklund-Darboux transformation for classical Yang-Baxter bundles
What is a classical r-matrix?
Quasigraded Lie algebras, Kostant-Adler scheme, and integrable hierarchies
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 in soliton hierarchies and special points of classical \(r\)-matrices
Compatible Lie brackets and integrable equations of the principal chiral model type
Quasigraded deformations of loop algebras and classical integrable systems.
Anisotropic quasigraded Lie algebras on hyperelliptic curves and integrable Hamiltonian systems
Hierarchies of integrable equations associated with hyperelliptic Lie algebras
Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems
Quasi-periodic functions on the torus and sl(n)-elliptic Lie algebra
“Many-poled” r-matrix Lie algebras, Lax operators, and integrable systems
HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS
A generalized Landau–Lifshitz equation for an isotropic SU(3) magnet
The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
Prolongation structure of the Krichever Novikov equation
Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches
Algebraic-geometric solutions of the Krichever-Novikov equation

This page was built for publication: Reduction in soliton hierarchies, elliptic Lie algebras of Holod and Krichever-Novikov-type equations