nLab noncommutative integrable system

Noncommutative integrable systems pertain to analogues of integrable systems in which the coordinates and momenta are formal noncommuting variables.

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• Vladimir Retakh, Vladimir Rubtsov, Noncommutative Toda chains, Hankel quasideterminants and Painlevé II equation, arxiv/1007.4168
• Semeon Arthamonov, Noncommutative inverse scattering method for the Kontsevich system, arxiv/1410.5493
• Philippe Di Francesco, Rinat Kedem, Noncommutative integrability, paths and quasi-determinants, http://arxiv.org/abs/1006.4774
• Philippe Di Francesco, Discrete integrable systems, positivity, and continued fraction rearrangements arxiv.org/abs/1009.1911