Solving non-abelian loop Toda equations

Abstract

We construct soliton solutions for non-abelian loop Toda equations associated with general linear groups. Here we consider the untwisted case only and use the rational dressing method based upon appropriate block-matrix representation suggested by the initial $\mathbb{Z}$-gradation.

28 pages

References in corpus (6)

• Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
• Toda equations associated with loop groups of complex classical Lie groups
• The Bullough-Dodd model coupled to matter fields
• The rational dressing for abelian twisted loop Toda systems
• Abelian Toda solitons revisited
• On Z-graded loop Lie algebras, loop groups, and Toda equations