Geodesic
Third version of the dressing method
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 165-176 Cet article a éte moissonné depuis la source Math-Net.Ru

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The two previous versions of the dressing method in soliton theory were elaborated in collaboration with V. E. Zakharov. In our works published in the 1970s, we did not consider discrete equations on a lattice, Painlevé-type equations, and finite-band potentials, and I now make up for this gap. Although the suggested elementary discretization scheme for the linear spectral problem is rather general, the presentation of the material is mainly confined to the framework of the Zakharov–Shabat spectral problem. 
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A. B. Shabat. Third version of the dressing method. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 1, pp. 165-176. http://geodesic.mathdoc.fr/item/TMF_1999_121_1_a9/

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