A generalized super integrable hierarchy of Dirac type
Yujian Ye, Zhihui Li, Shoufeng Shen, Chunxia Li
TL;DR
This paper introduces a new generalized matrix spectral problem of Dirac type linked to the super Lie algebra (0,1), and constructs its associated super integrable hierarchy, expanding the mathematical framework of integrable systems.
Contribution
It proposes a novel generalized spectral problem of Dirac type related to super Lie algebra (0,1) and develops its super integrable hierarchy, advancing the theory of super integrable systems.
Findings
New generalized matrix spectral problem of Dirac type introduced
Construction of the corresponding super integrable hierarchy
Expansion of mathematical framework for super integrable systems
Abstract
In this letter, a new generalized matrix spectral problem of Dirac type associated with the super Lie algebra is proposed and its corresponding super integrable hierarchy is constructed.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models