Geodesic
Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 11-21 
A. O. Smirnov. Finite-gap solutions of Abelian Toda chain of genus 4 and 5 in elliptic functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 78 (1989) no. 1, pp. 11-21. http://geodesic.mathdoc.fr/item/TMF_1989_78_1_a1/
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     title = {Finite-gap solutions {of~Abelian} {Toda} chain of~genus~4 and 5 in~elliptic functions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A reduction theorem is formulated and proved. Smooth real solutions of the abelian Toda lattice of the genus 4 and 5 are obtained in terms of the elliptic functions. In terms of the $g$-dimensional theta-functions the solutions of the genus $2g$ and $2g+1$ are constructed for the discrete Peierls–Fröhlich model in the absence of intramolecular deformation.

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