Geodesic
Generic solutions for some integrable lattice equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 177-184

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We derive the expressions for $\psi$-functions and generic solutions of lattice principal chiral equations, lattice KP hierarchy and hierarchy including lattice $N$-wave type equations. $\tau$-function of $n$ free fermions plays fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters. 
@article{TMF_1994_99_2_a2,
     author = {L. V. Bogdanov},
     title = {Generic solutions for some integrable lattice equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {177--184},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {1994},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a2/}
}
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L. V. Bogdanov. Generic solutions for some integrable lattice equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 177-184. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a2/