On quadratic Poisson brackets

DOI10.1063/1.1866221zbMath1067.53063OpenAlexW2052979883MaRDI QIDQ3024308

Ali Ulas Özgür Kisisel

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1866221

Mathematics Subject Classification ID

Related Items (3)

New global solutions of the Jacobi partial differential equations ⋮ Generalization of solutions of the Jacobi PDEs associated to time reparametrizations of Poisson systems ⋮ Jacobi structures in R3

Cites Work

• The Toda hierarchy and the KdV hierarchy
• Lie algebras and equations of Korteweg-de Vries type
• Poisson geometry
• Modifying Lax equations and the second Hamiltonian structure
• The spectrum of difference operators and algebraic curves
• A lattice version of the KP equation
• Fractional powers of operators and Hamiltonian systems
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Vertex operator solutions to the discrete KP-hierarchy
• Lectures on classical \(W\)-algebras
• Affine Toda field theory as a 3-dimensional integrable system
• A simple model of the integrable Hamiltonian equation
• Nonlocal quadratic Poisson algebras, monodromy map, and Bogoyavlensky lattices
• Toda systems and exponents of simple Lie groups
• On quantization of quadratic Poisson structures

This page was built for publication: On quadratic Poisson brackets