Geodesic
Inverse Spectral Transform for the $q$-Deformed Volterra Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 2, pp. 259-269

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We use the inverse spectral transform to study a $q$-deformation of the Volterra equation. The $q$-deformed time dependence of the spectral data is computed, and the one-soliton solution is explicitly constructed.
Mots-clés : $q$-equations, $q$-deformations. 
@article{TMF_2002_133_2_a10,
     author = {S. Lombardo},
     title = {Inverse {Spectral} {Transform} for the $q${-Deformed} {Volterra} {Equation}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {259--269},
     publisher = {mathdoc},
     volume = {133},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_133_2_a10/}
}
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S. Lombardo. Inverse Spectral Transform for the $q$-Deformed Volterra Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 2, pp. 259-269. http://geodesic.mathdoc.fr/item/TMF_2002_133_2_a10/