A twisted integrable hierarchy with $\mathbb D_2$ symmetry
Derchyi Wu
TL;DR
This paper introduces a new twisted integrable hierarchy based on a loop algebra approach to the GMV equation, providing a clearer scattering theory and solving the initial value problem.
Contribution
It develops a novel twisted integrable hierarchy using twisted loop algebra, enhancing understanding of the GMV equation's integrable structure.
Findings
Discovered a new twisted integrable hierarchy.
Provided a transparent scattering and inverse scattering framework.
Solved the initial value problem for the GMV equation.
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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Taxonomy
TopicsNonlinear Waves and Solitons · Quantum Mechanics and Non-Hermitian Physics · Algebraic structures and combinatorial models