Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems

DOI10.1134/S004057791902003XzbMath1418.37111OpenAlexW2939209543WikidataQ128061797 ScholiaQ128061797MaRDI QIDQ2320357

S. V. Polenkova, V. A. Poberezhny, Gerardus F. Helminck

Publication date: 22 August 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s004057791902003x

zbMATH Keywords

Cauchy problemLax equationpseudodifference operatorzero-curvature form

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Distributions and generalized functions on nonlinear spaces (46T30) Linear difference operators (47B39) Formal methods and deformations in algebraic geometry (14D15)

Related Items (3)

Cauchy problems related to integrable matrix hierarchies ⋮ Extensions of the discrete KP hierarchy and its strict version ⋮ Integrable hierarchies in the \(\mathbb{N} \times \mathbb{N}\)-matrices related to powers of the shift operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
• Loop groups and equations of KdV type
• Vertex operator solutions to the discrete KP-hierarchy
• A geometric construction of solutions of the strict \(\mathrm{dKP}(\Lambda_0)\) hierarchy
• The solution to the \(q\)-KdV equation
• Toda lattice hierarchy and conservation laws
• Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting
• On deformations of linear differential systems
• Commuting flows and conservation laws for Lax equations

This page was built for publication: Strict versions of integrable hierarchies in pseudodifference operators and the related Cauchy problems