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<p>The coupled nonisospectral super integrable hierarchies in 2+1 dimensions associated with generalized Lie superalgebra sl(4,1) (Gsl(4,1)) are investigated. We derive a nonisospectral coupled super integrable Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a coupled Dirac hierarchy in 2+1 dimensions. Meanwhile, self-consistent sources and conservation laws for these super integrable hierarchies are established. The methodological framework developed for the 2+1-dimensional coupled nonisospectral super integrable hierarchy can be applied to diverse spectral problems.</p>

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Derivation of 2+1 Dimensional Coupled Nonisospectral Super Integrable Hierarchies and their Some Properties

  • 期刊论文

  • 发表日期：

    2025年12月13日

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  • Jinxiu Li,
  • Haifeng Wang

摘要

The coupled nonisospectral super integrable hierarchies in 2+1 dimensions associated with generalized Lie superalgebra sl(4,1) (Gsl(4,1)) are investigated. We derive a nonisospectral coupled super integrable Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a coupled Dirac hierarchy in 2+1 dimensions. Meanwhile, self-consistent sources and conservation laws for these super integrable hierarchies are established. The methodological framework developed for the 2+1-dimensional coupled nonisospectral super integrable hierarchy can be applied to diverse spectral problems.