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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