Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations

We investigate two topics of the constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations. For the constrained dKP hierarchy, the constraint on the Lax operator is shown to be equivalent to a constraint on the tau function, which provides another description o...

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Veröffentlicht in:Theoretical and mathematical physics 2023-03, Vol.214 (3), p.334-353
Hauptverfasser: Song, Jia-Qi, Li, Chong, Cheng, Ji-Peng, Chen, Min-Ru
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Cheng, Ji-Peng
Chen, Min-Ru
description We investigate two topics of the constrained discrete KP hierarchy: the constraint on the tau functions and gauge transformations. For the constrained dKP hierarchy, the constraint on the Lax operator is shown to be equivalent to a constraint on the tau function, which provides another description of the constrained dKP hierarchy. We also find that there are two different choices of the generating functions in gauge transformation operators of the constrained discrete KP hierarchy.
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subjects 14/34
639/766/189
639/766/530
639/766/747
Applications of Mathematics
Constraints
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Theoretical
Transformations (mathematics)
title Constrained discrete KP hierarchy: The constraint on the tau functions and gauge transformations
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