More non-Abelian loop Toda solitons

Abstract

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.

13 pages, introduction, concluding remarks and bibliography extended, version to appear in J. Phys. A: Math. Theor

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