Compatible Poisson brackets for Lax equations and classical \({\mathfrak r}\)- matrices

DOI10.1007/BF01840431zbMath0689.35091OpenAlexW1995620031MaRDI QIDQ581779

A. G. Reyman, Michaael A. Semenov-Tian-Shansky

Publication date: 1989

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01840431

zbMATH Keywords

Poisson bracketsLax equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Lie algebras and Lie superalgebras (17B99)

Cites Work

• Unnamed Item
• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• Coupled KdV equations with multi-Hamiltonian structures
• Self-adjointness of elliptic operators with infinitely many variables
• A simple model of the integrable Hamiltonian equation

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