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

References in corpus (4)

• Toda equations associated with loop groups of complex classical Lie groups
• The rational dressing for abelian twisted loop Toda systems
• Abelian Toda solitons revisited
• On Z-graded loop Lie algebras, loop groups, and Toda equations