Algebraic analysis of a discrete hierarchy of double bracket equations

DOI10.1007/s12591-009-0006-xzbMath1202.15020OpenAlexW1984607764MaRDI QIDQ606454

Raúl Felipe, Luis Benítez-Babilonia, Nancy López Reyes

Publication date: 17 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-009-0006-x

zbMATH Keywords

pseudo-differential operatorLax operatorinfinite matricesdiscrete KP hierarchyBorel-Gauss decompositiondouble bracket equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (1)

A discrete hierarchy of double bracket equations and a class of negative power series

Cites Work

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• Transformation theory for anti-self-dual equations
• Multi-component hierarchies of double bracket equations.
• Complete integrability of the Kadomtsev-Petviashvili equation
• Least squares matching problems
• Completely integrable gradient flows
• Super Brockett equations: a graded gradient integrable system
• Gradient flows and double bracket equations.
• On a discrete analogue of the two-dimensional Toda lattice hierarchy
• Algebraic aspects of Brockett type equations
• Moment problem of Hamburger, hierarchies of integrable systems, and the positivity of tau-functions
• The Euler-Poincaré equations and double bracket dissipation
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map
• The Projected Gradient Method for Least Squares Matrix Approximations with Spectral Constraints
• Algebraic aspects of the discrete KP hierarchy

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