Geodesic
Integrable Chains and Hierarchies of Differential Evolution Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 1, pp. 15-30

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A class of integrable differential-difference systems is constructed based on auxiliary linear equations defined on sequences of Zakharov–Shabat formal dressing operators. We show that the auxiliary equations are compatible with the evolution equations for the Kadomtsev–Petviashvili (KP) hierarchy. The investigation results are used to elaborate a modified version of Krichever rational reductions for KP hierarchies. 
@article{TMF_2002_130_1_a1,
     author = {A. K. Svinin},
     title = {Integrable {Chains} and {Hierarchies} of {Differential} {Evolution} {Equations}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {15--30},
     publisher = {mathdoc},
     volume = {130},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_130_1_a1/}
}
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A. K. Svinin. Integrable Chains and Hierarchies of Differential Evolution Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 1, pp. 15-30. http://geodesic.mathdoc.fr/item/TMF_2002_130_1_a1/