Bidifferential graded algebras and integrable systems

zbMath1184.37052arXiv0805.4553MaRDI QIDQ2380902

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 12 April 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.4553

zbMATH Keywords

differential graded algebraMiura transformationintegrable systemDarboux transformation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (7)

“Riemann equations” in bidifferential calculus ⋮ Self-consistent sources for integrable equations via deformations of binary Darboux transformations ⋮ Cauchy matrix approach to the SU(2) self‐dual Yang–Mills equation ⋮ The Sylvester equation and integrable equations: the Ablowitz-Kaup-Newell-Segur system ⋮ Discrete analogues for two nonlinear Schrödinger type equations ⋮ Generalized Volterra lattices: binary Darboux transformations and self-consistent sources ⋮ The Sylvester equation and integrable equations: I. The Korteweg-de Vries system and sine-Gordon equation

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