Darboux-integrable equations with non-Abelian nonlinearities

Details Darboux-integrable equations with non-Abelian nonlinearities Darboux-integrable equations with non-Abelian nonlinearities

2000-11-07

arxiv.org/abs/nlin/0011013v2

in ''Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Computation, Axiomatics'' (eds. Aerts D., Czachor

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 19 pages

Scientific paper

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 $i\dot\rho=[H,f(\rho)]$, with $[f(\rho),\rho]=0$, (ii) its generalization involving certain functions $f(\rho)$ which are non-Abelian in the sense that $[f(\rho),\rho]\neq0$, and (iii) the Nahm equations.

Affiliated with

Also associated with

No associations

Rating

Darboux-integrable equations with non-Abelian nonlinearities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Darboux-integrable equations with non-Abelian nonlinearities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Darboux-integrable equations with non-Abelian nonlinearities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466104