Geodesic
Simplest soliton solutions of the equations of the periodic Toda chain of the series $A_k$ in the formalism of the scalar $L$–$A$ pair
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 370-380 
A. N. Leznov. Simplest soliton solutions of the equations of the periodic Toda chain of the series $A_k$ in the formalism of the scalar $L$–$A$ pair. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 370-380. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a6/
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     author = {A. N. Leznov},
     title = {Simplest soliton solutions of the equations of the periodic {Toda} chain of the series $A_k$ in the formalism of the scalar $L${\textendash}$A$ pair},
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Voir la notice de l'article provenant de la source Math-Net.Ru

By means of the scalar $L$–$A$-pair framework, the explicit expressions are found for the simplest soliton solutions of the algebra $A_k$ connected with the fundamental (vector) representations of the dimension $k+1$.

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