Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma

Details Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma

1997-07-14

arxiv.org/abs/q-alg/9707017v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, amstex; in the new version, a misprint in the formula before Proposition 2 was corrected, and a few very minor chang

Scientific paper

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.

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