On deformations of standard R-matrices for integrable infinite-dimensional systems

DOI10.1063/1.1868373zbMath1067.37102arXivnlin/0501044OpenAlexW3106410788MaRDI QIDQ3024309

Maciej Błaszak, Błażej M. Szablikowski

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0501044

zbMATH Keywords

integrable evolution equationsLax representationsdecomposition of appropriate Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items

On a transformation between hierarchies of integrable equations

Cites Work

• What is a classical r-matrix?
• An \(r\)-matrix approach to nonstandard classes of integrable equations
• Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
• The Atiyah-Bott-Patodi method in deformation quantization
• R-matrices and higher Poisson brackets for integrable systems
• R-matrix approach to lattice integrable systems
• From dispersionless to soliton systems via Weyl–Moyal-like deformations
• ClassicalR-matrix theory of dispersionless systems: I. (1   1)-dimension theory
• Gauge transformations of constrained KP flows: New integrable hierarchies

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