Truncations of Toda chains and the reduction problem

DOI10.1007/S11232-005-0087-9zbMath1178.37077OpenAlexW2077073982MaRDI QIDQ843930

Ismagil T. Habibullin

Publication date: 17 January 2010

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

Full work available at URL: https://doi.org/10.1007/s11232-005-0087-9

zbMATH Keywords

Darboux integrabilitysimple Lie algebrasLax pairLaplace invariantsgeneralized Toda chains

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (7)

Semidiscrete Toda lattices ⋮ Integrable Boundary Conditions for the Hirota-Miwa Equation and Lie Algebras ⋮ Characteristic algebras and integrable exponential systems ⋮ Factorization of Darboux-Laplace transformations for discrete hyperbolic operators ⋮ Darboux integrability of discrete two-dimensional Toda lattices ⋮ C-series discrete chains ⋮ Darboux-integrable two-component nonlinear hyperbolic systems of equations

Cites Work

• Boundary conditions for integrable equations
• The variational bicomplex for hyperbolic second-order scalar partial differential equations in the plane
• Factoring linear partial differential operators and the Darboux method for integrating nonlinear partial differential equations
• Boundary conditions for multidimensional integrable equations
• Exactly integrable hyperbolic equations of Liouville type

This page was built for publication: Truncations of Toda chains and the reduction problem