Geodesic
Extensions of the~discrete KP hierarchy and its strict version
Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 367-382

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We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.
Keywords: pseudodifference operator, hierarchy, linearization, oscillating matrix, geometric construction of solutions.
Mots-clés : wave matrix 
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     author = {G. F. Helminck and V. A. Poberezhny and S. V. Polenkova},
     title = {Extensions of the~discrete {KP} hierarchy and its strict version},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {204},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a3/}
}
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G. F. Helminck; V. A. Poberezhny; S. V. Polenkova. Extensions of the~discrete KP hierarchy and its strict version. Teoretičeskaâ i matematičeskaâ fizika, Tome 204 (2020) no. 3, pp. 367-382. http://geodesic.mathdoc.fr/item/TMF_2020_204_3_a3/