Geodesic
Fredholm determinants and $\tau$-functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 357-371

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It is proved that integral operators with the kernels of the special type generate by a natural way the infinite set of the AKNS equations. The corresponding determinants satisfy to the Hirota equations and are generation functions for integrals of motion. 
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     author = {N. A. Slavnov},
     title = {Fredholm determinants and $\tau$-functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {357--371},
     publisher = {mathdoc},
     volume = {109},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a3/}
}
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N. A. Slavnov. Fredholm determinants and $\tau$-functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 109 (1996) no. 3, pp. 357-371. http://geodesic.mathdoc.fr/item/TMF_1996_109_3_a3/