An algebraic characterization of the bilinear relations of the matrix hierarchy associated with a commutative algebra of \(k\times k\)-matrices
DOI10.1007/s10440-009-9440-6zbMath1194.35368OpenAlexW2094354500MaRDI QIDQ966462
Elena A. Panasenko, Gerardus F. Helminck
Publication date: 23 April 2010
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-009-9440-6
KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25)
Cites Work
- Unnamed Item
- Unnamed Item
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Lie algebras and equations of Korteweg-de Vries type
- Loop groups and equations of KdV type
- Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
- Fractional powers of operators and Hamiltonian systems
- Limit matrices for the Toda flow and periodic flags for loop groups
- Geometric Bäcklund-Darboux transformations for the KP hierarchy
- Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
- A flag variety relating matrix hierarchies and Toda-type hierarchies
- Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
- Commuting flows and conservation laws for Lax equations
- A Convergent framework for the Multicomponent KP-Hierarchy
This page was built for publication: An algebraic characterization of the bilinear relations of the matrix hierarchy associated with a commutative algebra of \(k\times k\)-matrices
