Nonlinear integrable systems related to the elliptic Lie-Baxter algebra

DOI10.1007/BF02372050zbMath0937.37054OpenAlexW2083602148WikidataQ115392377 ScholiaQ115392377MaRDI QIDQ1962310

Yanyan Li

Publication date: 9 April 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02372050

zbMATH Keywords

elliptic spectral problemnonlinear integrable systemsasymptotic chiral \(O(3)\)-fieldelliptic Lie-Baxter algebrahierarchy of Poisson Hamiltonian structures

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

• Dirac constraints in field theory: Lifts of Hamiltonian systems to the cotangent bundle
• The bi-Hamiltonian formulation of the Landau–Lifshiftz equation
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