Geodesic
An extension of the Hirota bilinear difference equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 467-478

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An extension of the Hirota bilinear difference equation to a multilinear, multidimensional lattice space is discussed. This extension admits linear Bäcklund transformations. A preliminary result on solutions is presented in the case of trilinear equations. 
@article{TMF_1999_118_3_a17,
     author = {S. Saito},
     title = {An extension of the {Hirota} bilinear difference equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {467--478},
     publisher = {mathdoc},
     volume = {118},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a17/}
}
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S. Saito. An extension of the Hirota bilinear difference equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 467-478. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a17/