Geodesic
Reflectionless sine-Gordon potentials with an infinite spectrum
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 337-346

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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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     author = {A. B. Borisov and S. A. Zykov},
     title = {Reflectionless {sine-Gordon} potentials with an infinite spectrum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
     year = {1999},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a2/}
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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/