  We find explicit (multisoliton) solutions for nonabelian integrable systems
such as periodic Toda field equations, Langmuir equations, and Schrodinger
equations for functions with values in any associative algebra. The solution
for nonabelian Toda field equations for root systems of types A, B, C was
expressed by the authors in a previous paper (q-alg/9701008) using
quasideterminants introduced by the last two authors. To find multisoliton
solutions of periodic Toda equations and other nonabelian systems we use a
combination of these ideas with important lemmas which are due to Marchenko.
