Geodesic
Constrained discrete KP hierarchy: the~constraint on the~tau functions and gauge transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 3, pp. 387-409

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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 $(L^k)_{0}=q\Delta^{-1}r$ 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.
Keywords: discrete KP hierarchy, constrained discrete KP hierarchy, gauge transformation, tau function. 
@article{TMF_2023_214_3_a2,
     author = {Jia-Qi Song and Chong Li and Ji-Peng Cheng and Min-Ru Chen},
     title = {Constrained discrete {KP} hierarchy: the~constraint on the~tau functions and gauge transformations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {387--409},
     publisher = {mathdoc},
     volume = {214},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a2/}
}
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Jia-Qi Song; Chong Li; Ji-Peng Cheng; Min-Ru Chen. Constrained discrete KP hierarchy: the~constraint on the~tau functions and gauge transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 3, pp. 387-409. http://geodesic.mathdoc.fr/item/TMF_2023_214_3_a2/