BICOMPLEXES, INTEGRABLE MODELS, AND NONCOMMUTATIVE GEOMETRY

DOI10.1142/S0217979200001977zbMath1073.37533arXivhep-th/0006005MaRDI QIDQ5312015

Folkert Mueller-Hoissen, Aristophanes Dimakis

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0006005

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) Noncommutative geometry in quantum theory (81R60)

Related Items (5)

Noncommutative negative order AKNS equation and its soliton solutions ⋮ Isospectral Hamiltonians from Moyal products ⋮ DARBOUX TRANSFORMATION AND MULTI-SOLITON SOLUTIONS OF A NONCOMMUTATIVE SINE–GORDON SYSTEM ⋮ Quasideterminant solutions of NC Painlevé II equation with the Toda solution at \(n = 1\) as a seed solution in its Darboux transformation ⋮ An integrable noncommutative version of the sine-Gordon system

Cites Work

• A geometry for multidimensional integrable systems
• Soliton equations and the zero curvature condition in noncommutative geometry

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