Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems

Details Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems

1998-07-16

arxiv.org/abs/math-ph/9807017v1

Commun.Math.Phys. 203 (1999) 649-666

Physics

Mathematical Physics

LaTeX2e, 18 pages

Scientific paper

10.1007/s002200050630

We associate to an arbitrary $\mathbb Z$-gradation of the Lie algebra of a Lie group a system of Riccati-type first order differential equations. The particular cases under consideration are the ordinary Riccati and the matrix Riccati equations. The multidimensional extension of these equations is given. The generalisation of the associated Redheffer--Reid differential systems appears in a natural way. The connection between the Toda systems and the Riccati-type equations in lower and higher dimensions is established. Within this context the integrability problem for those equations is studied. As an illustration, some examples of the integrable multidimensional Riccati-type equations related to the maximally nonabelian Toda systems are given.

Affiliated with

Also associated with

No associations

Rating

Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems 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 Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riccati-type equations, generalised WZNW equations, and multidimensional Toda systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83437