The geometry of differential difference equations

DOI10.1016/0019-3577(94)90016-7zbMath0816.35123OpenAlexW1995933356WikidataQ115368303 ScholiaQ115368303MaRDI QIDQ1842548

Gerhard F. Post, Gerardus F. Helminck

Publication date: 1 May 1995

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/the-geometry-of-differential-difference-equations(c7854077-ba68-48b1-80ea-148983706191).html

zbMATH Keywords

Grassmann manifoldKP-hierarchy\(\tau\)- functionsmaximal commuting subalgebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (4)

The structure of Hilbert flag varieties ⋮ Infinite-dimensional flag manifolds in integrable systems ⋮ \(\tau\)-functions for a two-point version of the KP-hierarchy ⋮ Reductions of lower triangular Toda hierarchies

Cites Work

• Unnamed Item
• Toda lattice hierarchy. I
• Lie algebras and equations of Korteweg-de Vries type
• Loop groups and equations of KdV type
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Differential-difference AKNS equations and homogeneous Heisenberg algebras

This page was built for publication: The geometry of differential difference equations