Darboux-integrable equations with non-Abelian nonlinearities

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We introduce a new class of nonlinear equations admitting a representation in terms of Darboux-covariant compatibility conditions. Their special cases are, in particular, (i) the "general" von Neumann equation $i\dotρ=[H,f(ρ)]$, with $[f(ρ),ρ]=0$, (ii) its generalization involving certain functions $f(ρ)$ which are non-Abelian in the sense that $[f(ρ),ρ]\neq0$, and (iii) the Nahm equations.
LaTeX, 19 pages

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/79898

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0011013
 http://arxiv.org/abs/nlin/0011013
 in ''Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Computation, Axiomatics'' (eds. Aerts D., Czachor M. and Durt T.), World Scientific, Singapore, 2002, 335-353

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arXiv