Darboux-integrable equations with non-Abelian nonlinearities
نویسندگان
چکیده
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 iρ̇ = [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] 6= 0, and (iii) the Nahm equations.
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تاریخ انتشار 2008