Factorization of differential operators, quasideterminants, and nonabelian Toda field equations
Pavel Etingof, Israel Gelfand, Vladimir Retakh
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.
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