A twisted integrable hierarchy with ${\mathbb{D}}_2$ symmetry

Abstract

A loop algebra approach to the Gerdjikov-Mikhailov-Valchev (GMV) equation is provided to exploit the associated twisted integrable structure and a new twisted integrable hierarchy is discovered. Using the twisted loop algebra structure, we obtain a transparent treatment of the associated scattering and inverse scattering theory and solve the initial value problem for the GMV equation.

References in corpus (4)

• Reduction Groups and Automorphic Lie Algebras
• Reductions of integrable equations. Dihedral group
• On the Classification of Automorphic Lie Algebras
• Soliton Hierarchies Constructed from Involutions