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

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arxiv q-alg/9701008 v2 pith:4S6T2ETZ submitted 1997-01-09 q-alg hep-thmath.QAnlin.SIsolv-int

Pavel Etingof , Israel Gelfand , Vladimir Retakh This is my paper · ORCID
classification q-alghep-thmath.QAnlin.SIsolv-int
keywords equationsnonabelianfieldquasideterminantstodaalgebraappendixassociative
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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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  1. Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian $N$-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation

    nlin.SI 2026-07 conditional novelty 6.0 of 10

    Quasi-Grammian and quasi-Wronskian N-soliton solutions of the ASDYM/Yang equation are asymptotically equivalent up to a constant matrix factor, with explicit N-soliton phase shifts.

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