2010/07/31 by Vladimir Retakh, Vladimir Rubtsov · 33 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Connection (principal bundle) #Construct (python library) #Differential equation #Division (mathematics) #Noncommutative geometry #Nonlinear Waves and Solitons #Partial differential equation #Toda lattice #math-ph #math.MP #msc:16B99 #msc:16W25 #msc:37K10 #nlin.SI
paper · pdf · doi:10.1088/1751-8113/43/50/505204
published in Journal of Physics A Mathematical and Theoretical 43(50), 505204 (Institute of Physics) · 16 pp; final revised version, will appear in J.Phys. A, minor changes (typos corrected following the Referee's List, aknowledgements and a new reference added)
arxiv created 2010/10/19 · openalex publication_date 2010/11/24 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct solutions of an infinite Toda system and an analog of the Painlevé II equation over noncommutative differential division rings in terms of quasideterminants of Hankel matrices.