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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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.

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