%0 Journal Article %T A twisted integrable hierarchy with $\mathbb D_2$ symmetry %A Derchyi Wu %J Physics %D 2012 %I arXiv %R 10.1063/1.4757585 %X 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. %U http://arxiv.org/abs/1204.6548v1