A twisted integrable hierarchy with mathbb D₂ symmetry
classification
🌊 nlin.SI
keywords
twistedintegrablealgebraassociatedequationhierarchyloopscattering
read the original 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.
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