Lie algebra contractions and symmetries of the Toda hierarchy

DOI10.1088/0305-4470/33/28/307zbMath0973.37046OpenAlexW2001138128WikidataQ115293431 ScholiaQ115293431MaRDI QIDQ4520714

No author found.

Publication date: 13 December 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/33/28/307

zbMATH Keywords

Lie point symmetriesVolterra equationgeneralized symmetriesToda hierarchyLie algebra contractions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lattice dynamics; integrable lattice equations (37K60)

Related Items (11)

Contractions of low-dimensional Lie algebras ⋮ Lie group analysis of a generalized Krichever-Novikov differential-difference equation ⋮ Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras ⋮ Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy ⋮ Classification of five-point differential–difference equations II ⋮ Classification of five-point differential-difference equations ⋮ Umbral calculus, difference equations and the discrete Schrödinger equation ⋮ New set of symmetries and Lie algebraic structures of the Toda lattice hierarchy ⋮ Symmetry classification of diatomic molecular chains ⋮ Integrability Conditions for n and t Dependent Dynamical Lattice Equations ⋮ Continuous Correspondence of Conservation Laws of the Semi-discrete AKNS System

This page was built for publication: Lie algebra contractions and symmetries of the Toda hierarchy