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

• Jinxiu Li ^[1] ; Haifeng Wang ^[1]
  1. [1] Jimei University

     Jimei University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 1, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • 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.

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