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arxiv: 0810.1025 · v2 · submitted 2008-10-06 · 🧮 math-ph · hep-th· math.MP· nlin.SI

More non-Abelian loop Toda solitons

classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords looptodacasenon-abeliansolutionsabelianalreadyappropriate
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We find new solutions, including soliton-like ones, for a special case of non-Abelian loop Toda equations associated with complex general linear groups. We use the method of rational dressing based on an appropriate block-matrix representation suggested by the Z-gradation under consideration. We present solutions in a form of a direct matrix generalization of the Hirota's soliton solution already well-known for the case of Abelian loop Toda systems.

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