Commutator identities and integrable hierarchies

DOI10.1134/S004057792012003XzbMath1460.37066OpenAlexW3116610891MaRDI QIDQ2229343

A. K. Pogrebkov

Publication date: 23 February 2021

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

Full work available at URL: https://doi.org/10.1134/s004057792012003x

zbMATH Keywords

complete integrabilityintegrable hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Negative times of the Davey-Stewartson integrable hierarchy ⋮ Nonexplicit versions of integrable equations

Cites Work

• Unnamed Item
• Commutator identities on associative algebras, the non-abelian Hirota difference equation and its reductions
• Commutator identities on associative algebras and the integrability of nonlinear revolution equations
• Soliton solutions of the Hamiltonian DSI and DSIII equations
• Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method
• Hirota difference equation and a commutator identity on an associative algebra
• On a 2+1-Dimensional Whitham-Broer-Kaup System: A Resonant NLS Connection
• 2D Toda chain and associated commutator identity
• Towards classification of -dimensional integrable equations. Integrability conditions I
• On three-dimensional packets of surface waves

This page was built for publication: Commutator identities and integrable hierarchies