Geodesic
Reflectionless sine-Gordon potentials with an infinite spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 337-346 
A. B. Borisov; S. A. Zykov. Reflectionless sine-Gordon potentials with an infinite spectrum. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 337-346. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the sine-Gordon $L$-operator, we use dressing chains to construct reflectionless potentials that are self-similar with respect to Darboux transformations. These potentials have an infinite spectrum arranged in a geometric progression. We use numerical methods to show that these potentials have a localized form with modulated tails.

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