1 9 Ju n 20 09 More non - Abelian loop Toda solitons

نویسنده

  • A. V. Razumov
چکیده

We find new solutions, including soliton-like ones, for a special case of nonAbelian 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. Mathematics Subject Classification (2000). 37K10, 37K15, 35Q58

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تاریخ انتشار 2009