| Citation: |
Haifeng Wang, Jinxiu Li, Huiqin Cao. GENERALIZED NONISOSPECTRAL MULTI-COMPONENT SUPER INTEGRABLE HIERARCHY AND DARBOUX TRANSFORMATION[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 45-75. doi: 10.11948/20250124
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GENERALIZED NONISOSPECTRAL MULTI-COMPONENT SUPER INTEGRABLE HIERARCHY AND DARBOUX TRANSFORMATION
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Abstract
Based on Lie superalgebra spl(2N, 1), a generalized nonisospectral multi-component super Ablowitz-Kaup-Newell-Segur (AKNS) integrable hierarchy is obtained. Then, we present a generalized nonisospectral three-component coupled super AKNS integrable hierarchy associated with Lie superalgebra spl(6, 1) which is a a special case of the Lie superalgebra spl(2N, 1) when N=3. Using of supertrace identity, the super bi-Hamiltonian structures of the generalized multi-component and three-component coupled super AKNS integrable hierarchies are obtained. Additionally, we investigate the Darboux transformation of the generalized nonisospectral three-component coupled super AKNS integrable hierarchy.
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References
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Haifeng Wang, Jinxiu Li, Huiqin Cao. GENERALIZED NONISOSPECTRAL MULTI-COMPONENT SUPER INTEGRABLE HIERARCHY AND DARBOUX TRANSFORMATION[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 45-75. doi: 10.11948/20250124
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