Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization

DOI10.2478/s11533-006-0038-1zbMath1126.35054OpenAlexW2047364850MaRDI QIDQ2642442

Jolanta Golenia, Oksana Ye. Hentosh, Anatoliy K. Prykarpatsky

Publication date: 17 August 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0038-1

zbMATH Keywords

Bäcklund transformationintegrable Hamiltonian systemsLax-type flows\(R\)-matrix approachDavey-Stewartson type systems

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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