Geodesic
The rapidly decreasing solution of the Cauchy problem for the Toda lattice
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 5-12

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We prove the existence of a rapidly decreasing solution of the Cauchy problem for the Toda lattice. We find a class of initial data guaranteeing the existence of such a solution.
Keywords: Toda lattice, rapidly decreasing solution, scattering data. 
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     author = {A. Kh. Khanmamedov},
     title = {The rapidly decreasing solution of the {Cauchy} problem for the {Toda} lattice},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a1/}
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A. Kh. Khanmamedov. The rapidly decreasing solution of the Cauchy problem for the Toda lattice. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 5-12. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a1/