Factorization of differential operators, quasideterminants, and nonabelian Toda field equations

Abstract

We integrate nonabelian Toda field equations for root systems of types A, B, C, for functions with values in any associative algebra. The solution is expressed via quasideterminants. In the appendix we review some results concerning nonabelian soliton equations.

8 pages, amstex. In the revised version we have added an appendix where we discuss noncommutative KP and KdV hierarchies