The rational dressing for abelian twisted loop Toda systems

Abstract

We consider abelian twisted loop Toda equations associated with the complex general linear groups. The Dodd--Bullough--Mikhailov equation is a simplest particular case of the equations under consideration. We construct new soliton solutions of these Toda equations using the method of rational dressing.

LaTeX, 26 pages

References in corpus (10)

• Quantum Solitons in Affine Toda Field Theories
• Hirota's Solitons in the Affine and the Conformal Affine Toda Models
• Affine Toda Solitons and Automorphisms of Dynkin Diagrams
• Connection between the Affine and Conformal Affine Toda Models and their Hirota's Solution
• Multi--Soliton Solutions of Affine Toda Models
• Multidimensional Toda type systems
• Toda equations associated with loop groups of complex classical Lie groups
• The Bullough-Dodd model coupled to matter fields
• On Z-gradations of twisted loop Lie algebras of complex simple Lie algebras
• Abelian Toda solitons revisited

Cited by in corpus (3)

• More non-Abelian loop Toda solitons
• Darboux transformations for two dimensional elliptic affine Toda equations
• Solving non-abelian loop Toda equations