A Convergent framework for the Multicomponent KP-Hierarchy

DOI10.2307/2001507zbMath0737.35098OpenAlexW4249562904MaRDI QIDQ3971053

Gerardus F. Helminck, Gerhard F. Post

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2001507

zbMATH Keywords

Grassmann manifoldconstruction of solutionsmulticomponent KP-hierarchy

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (4)

The structure of Hilbert flag varieties ⋮ Cauchy problems related to integrable matrix hierarchies ⋮ Reductions of lower triangular Toda hierarchies ⋮ An algebraic characterization of the bilinear relations of the matrix hierarchy associated with a commutative algebra of \(k\times k\)-matrices

Cites Work

• Loop groups and equations of KdV type
• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• Commuting flows and conservation laws for Lax equations

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