Geodesic
The periodic Korteweg–de Vries problem
Sbornik. Mathematics, Tome 24 (1974) no. 3, pp. 319-344 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we give a method for solving the periodic Cauchy problem for the Korteweg–de Vries equation: \begin{gather*} v-6vv'+v'''=0,\qquad v(x,\,0)=v_0(x),\quad v(x+\pi,\,t)=v(x,\,t)\\ (-\infty<x<\infty,\quad-\infty<t<\infty). \end{gather*} We justify our method with the aid of the theory of inverse spectral problems for Sturm–Liouville operators, considered on a finite interval. Bibliography: 8 titles. 
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     title = {The periodic {Korteweg{\textendash}de~Vries} problem},
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V. A. Marchenko. The periodic Korteweg–de Vries problem. Sbornik. Mathematics, Tome 24 (1974) no. 3, pp. 319-344. http://geodesic.mathdoc.fr/item/SM_1974_24_3_a0/

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