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

L. A. Ferreira, J. F. Gomes, A. V. Razumov +2

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 conside…