More non - abelian loop Toda solitons

نویسنده

  • A. V. Razumov
چکیده

We find soliton-like solutions in a particular case of non-abelian loop Toda equations associated with general linear groups. We use the formalism of rational dressing based on 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 constructions already well-known for the case of abelian loop Toda systems. Mathematics Subject Classification (2000). 37K10, 37K15, 35Q51, 35Q58

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تاریخ انتشار 2009