The rational dressing for abelian twisted loop Toda systems
Kh. S. Nirov, A. V. Razumov
TL;DR
This paper develops a rational dressing method to construct new soliton solutions for abelian twisted loop Toda equations related to complex general linear groups, including the Dodd--Bullough--Mikhailov equation.
Contribution
It introduces a novel rational dressing approach to generate soliton solutions for a class of abelian twisted loop Toda systems.
Findings
New soliton solutions for abelian twisted loop Toda equations.
Application of rational dressing method to complex general linear groups.
Extension of solutions to the Dodd--Bullough--Mikhailov equation.
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.
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